Topology and Its Applications

Article	Citations
Tangent developables and Darboux developables of framed curves	31
On T0 spaces determined by well-filtered spaces	20
First countability, ω-well-filtered spaces and reflections	13
Multi-transitivity in non-autonomous discrete systems	12
On H-sober spaces and H-sobrifications of T0 spaces	12
Homogeneous subspaces of products of extremally disconnected spaces	11
Well-filterifications of topological spaces	11
Locally upper bounded poset-valued maps and stratifiable spaces	10
Remarks on set-Menger and related properties	10
On selectively star-ccc spaces	9
Menger and Menger-type star selection principles for hit-and-miss topology	9
On two problems about sobriety of topological spaces	8
On metrizability and compactness of certain products without the Axiom of Choice	8
Cardinal invariants of coset spaces	8
Metrizable and weakly metrizable coset spaces	8
Some properties defined by relative versions of star-covering properties	8
Rothberger and Rothberger-type star selection principles on hyperspaces	7
Some open problems on well-filtered spaces and sober spaces	7
A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric	7
Compact bilinear operators on asymmetric normed spaces	7
Applications of Scott-closed sets in convex structures	6
The “hit” problem of five variables in the generic degree and its application	6
Embedding topological spaces into Hausdorff κ-bounded spaces	6
On feebly compact paratopological groups	6
Deformations of functions on surfaces by isotopic to the identity diffeomorphisms	6

Kantorovich-Rubinstein quasi-metrics I: Spaces of measures and of continuous valuations	6
Coincidence of the upper Vietoris topology and the Scott topology	5
Was Ulam right? I: Basic theory and subnormal ideals	5
The topological structure of the set of fuzzy numbers with L metric	5
Gelfand-Naimark-Stone duality for normal spaces and insertion theorems	5
On relative category and Morse decompositions for infinite-dimensional dynamical systems	5
Star and strong star-type versions of Rothberger and Menger principles for hit-and-miss topology	5
Generalized torsion and Dehn filling	5
On the topological complexity of maps	5
First-countability, ω-Rudin spaces and well-filtered determined spaces	5
On Loeb and sequential spaces in ZF	5
The R∞-property for right-angled Artin groups	5
Equi-Baire one family of functions on metric spaces: A generalization of equi-continuity; and some applications	5
Symmetrically connected and antisymmetrically connected T0-quasi-metric extensions	5
Coincidence results and Leray–Schauder alternatives between multivalued maps with continuous selections and admissible maps	5
Multi-switches and virtual knot invariants	5
Some independence results about compact metrizable spaces and two notions of finiteness	4
Selection games and the Vietoris space	4
Fixed point free actions of spheres and equivariant maps	4
Increasing sequence of topologies on the set of positive integers	4
The range of ultrametrics, compactness, and separability	4
Core-compactness, consonance and the Smyth powerspaces	4
Ascoli and sequentially Ascoli spaces	4
The saturated prefilter monad	4
New families of stable simplicial filtration functors	4
Characterizations of relativized distal points of topological dynamical systems	4
Cohomology rings of the real and oriented partial flag manifolds	4
The hit problem for the polynomial algebra in some weight vectors	4
Submetrizability and first-countability of coset spaces	4
Combined zigzag structures in dynamical IP⁎ sets	4
Some applications of the theory of Katětov order to ideal convergence	4
Digital topological rough set structures and topological operators	4
Generating functions and topological complexity	4
Second-countable compact Hausdorff spaces as remainders in ZF and two new notions of infiniteness	4
Cardinal invariants in the quotient spaces of weakly topological groups	4
Triple-crossing number, the genus of a knot or link and torus knots	4
Symmetric products of Erdős space and complete Erdős space	4
Disjoint dynamics of weighted translations on solid spaces	4
Sliceness of alternating pretzel knots and links	4
The centre and the depth of the centre for continuous maps on dendrites with unique branch point	4
On the dimension of H⁎	4
Completing simple valuations in -categories	4
The Kirch space is topologically rigid	3
Regular G-diagonals and hyperspaces	3
M-factorizable feathered topological groups	3
Some decomposable continua and Whitney levels of their hyperspaces	3
Some further results on the cancellation law for partially ordered sets and T0-spaces	3
Skein theoretic approach to Yang-Baxter homology	3
M-factorizability of products and τ-fine topological groups	3
A countably compact topological group with the non-countably pracompact square	3

On closed non-vanishing ideals in C(X) I; Connectedness properties	3
Uniform equicontinuity and groups of homeomorphisms	3
Star versions of the Rothberger property on hyperspaces	3
More Brieskorn spheres bounding rational balls	3
On function spaces related to d-spaces	3
HOMFLYPT skein sub-modules of the lens spaces L(p,1)	3
Selection games on continuous functions	3
A note on (strongly) topological gyrogroups	3
Order and uo-convergence in spaces of continuous functions	3
A strong fixed point theorem	3
Atoms in the lattice of covering operators in compact Hausdorff spaces	3
Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”	3
Productivity of cellular-Lindelöf spaces	3
D-continua, D⁎-continua, and Wilder continua	3
Scattered compact sets in continuous images of Čech-complete spaces	3
On the free set number of topological spaces and their G-modifications	3
Two topologies on the lattice of Scott closed subsets	3
Characterization and topological behavior of homomorphism tree-shifts	3
On M-factorizable P-groups	3
Using rational homology circles to construct rational homology balls	3
Uniformities on strongly topological gyrogroups	3
Continuously triangulating the continuous cluster category	3
APD profiles and transfinite asymptotic dimension	3
On almost sober spaces	3
Simple homotopy theory and nerve theorem for categories	3
Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric	3
Factoring continuous mappings defined on subspaces of topological products	3
An elementary proof of Euler's formula using Cauchy's method	3
Topology of univoque sets in real base expansions	3
Some topological properties of spaces of Lipschitz continuous maps on quasi-metric spaces	3
Saturated and linear isometric transfer systems for cyclic groups of order pq	3
Selection games on hyperspaces	3
Dynamic properties for the induced maps on n-fold symmetric product suspensions II	3
A generalization of the Gram determinant of type A	3
Topological transitivity in quasi-continuous dynamical systems	3
Approximation by pointwise bounded sets of continuous functions	3
On paratopological gyrogroups	3
Dynamics near an idempotent	3
Investigation of flash crash via topological data analysis	3
Kantorovich-Rubinstein quasi-metrics II: Hyperspaces and powerdomains	3
Čech closure spaces: A unified framework for discrete and continuous homotopy	3
Twisted conjugacy in fundamental groups of geometric 3-manifolds	3
On the uniqueness of the n-fold pseudo-hyperspace suspension for locally connected continua	3
Dynamical IP⋆-sets in weak rings	3
Assouad-Nagata dimension of finitely generated C′	2
Generalized metrizable properties and cardinal invariants in quotient spaces of quasitopological groups	2
Periodic projections of alternating knots	2
Čech systems that induce approximate inverse systems	2
The homotopy type of the space of algebraic loops on a toric variety	2
On points of porouscontinuity	2
On some properties of perfect images of GO-spaces and generalized trees	2
G-covers and ω1-strongly compact cardinals	2
GKM theory for orbifold stratified spaces and application to singular toric varieties	2
On transitive and chaotic dynamics of linear semiflows	2
Topological complexity of unordered configuration spaces of certain graphs	2
Local dendrite maps without periodic points	2
The Borel complexity of ideal limit points	2
Stability theorems in pointwise dynamics	2
A moment angle complex whose rank of double cohomology is 6	2
On (para)topological groups with a countably (s-)complete sieve	2
Gromov–Hausdorff distance between interval and circle	2
Dynamics with Jones' set function T	2
Supremum topological sequence entropy of circle maps	2
P-filters and Cohen, random, and Laver forcing	2
k-primal spaces	2
On totally periodic ω-limit sets for monotone maps on regular curves	2
Moves relating C-complexes: A correction to Cimasoni's “A geometric construction of the Conway potential function”	2
Hodge theory on Alexander invariants – A survey	2
Higher topological Hochschild homology of periodic complex K-theory	2
Factorization of maps on limits of inverse systems in Top	2
Strong homotopy in finite topological adjacency category	2
Extending free actions of finite groups on surfaces	2
Domination by small sets versus density	2
On C-embedded subspaces of weakly Lindelöf spaces	2
On fuzzifications of non-autonomous dynamical systems	2
Eliashberg's h-principle and generic maps of surfaces with prescribed singular locus	2
On spaces with fragmentable open sets	2
Polar degree of hypersurfaces with 1-dimensional singularities	2
Free involutions on odd dimensional Wall manifolds and cohomology of orbit spaces	2
A note on δ-strongly compact cardinals	2

Minimality of topological matrix groups and Fermat primes	2
Separating sets by functions and by sets	2
On κ-bounded and M-compact reflections of topological spaces	2
The freeness theorem for equivariant cohomology of Rep(C2)-complexes	2
Abstract topological dynamics involving set-valued functions	2
Induced dynamics of nonautonomous dynamical systems	2
Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem in fuzzy quasi-metric spaces	2
A characterization of the countable paracompactness for products of ordinals	2
Banach-Mazur game and open mapping theorem	2
Generalization of the Grothendieck's theorem	2
Property A for coarse spaces	2
Extension of mappings from the product of pseudocompact spaces	2
Selectively pseudocompact groups and p-compactness	2
On new star-selection principles in topology	2
Topological groups without infinite precompact continuous homomorphic images	2
Fréchet-like properties and almost disjoint families	2
On cΔ(Λ)-covers and Δγ-sets	2
Computational tools for twisted topological Hochschild homology of equivariant spectra	2
Functions on products of pseudocompact spaces	2
Numerable open covers and representability of topological stacks	2
Cofinal completion vis-á-vis Cauchy continuity and total boundedness	2
On strongly Čech-complete spaces	2
On cellular-compact and related spaces	2
Geometric bistellar moves relate geometric triangulations	2
A study on D-spaces and the metrizability of compact spaces with property (σ-A)	2
Further results on new star-selection principles	2
Inverse limits with set-valued functions having graphs that are arcs	2
Differentially compact spaces	2
Function space of continuous maps from Peano continuum to tree I	2
The first-countability of paratopological left-loops	2
On some classes of quasitopological groups	2
The ω-limit function on dendrites	2
Base dimension-like function of the type Dind and universality	2
On remainders of locally s-spaces	2
Compatible topologies on mixed lattice vector spaces	2
Spaces with fragmentable open sets	2
Left orderability of cyclic branched covers of rational knots C(2n + 1,2m,2)	2
Corrigendum to “Hypercyclic abelian semigroups of matrices on R	2
Free quasitopological groups	2
The continuous d-open homomorphism images and subgroups of R-factoriza	2
On countably compact group topologies without non-trivial convergent sequences on 2
Covering Tychonoff cubes by topological groups	2
Generalized quasi-metric semilattices	2
The almost disjointness invariant for products of ideals	2
Quotient with respect to admissible L-subgyrogroups	2
On Lyubeznik type invariants	2
Submetrizability of some classes of coset spaces	2
Surprising circles in Morse boundaries of right-angled Coxeter groups	2
The finest locally convex topology of an extended locally convex space	2
Fans having unique cones	2
Upsilon invariants of L-space cable knots	2
On continuity of set-valued mappings	2
Topological properties of some function spaces	2
Classification of Floyd-Auslander systems with fixed pattern	2
Calculation of Nielsen periodic numbers on infra-nilmanifolds	2
Median pretrees and functions of bounded variation	2
Extensions of dualities and a new approach to the Fedorchuk duality	2
Some pseudocompact-like properties in certain topological groups	2
On quantization dimensions of idempotent probability measures	2
Length of a chain composed by certain monoids of self maps	2
Automorphism groups of universal diversities	1
Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs	1
The dynamical approach to the conjugacy in groups	1
On topological motives	1
Co-analytic spaces, K-analytic spaces, and definable versions of Menger's conjecture	1
Jacobi identity in polyhedral products	1
Topological field theories on open-closed r-spin surfaces	1
An infinity operad of normalized cacti	1
A study on weakly Lindelöf (para)topological groups with a q-point and m(M)-f	1
Densely k-separable compacta are densely separable	1
Cyclic sequences of periodic sums in βN	1
Knots admitting purely cosmetic surgeries are prime	1
F-equicontinuity and an analogue of Auslander-Yorke dichotomy theorem	1
Sub-posets in ω and the strong Pytkeev⁎ property	1
The groupZ(	1
On dynamics of families of equi-Baire one functions on metric spaces	1
Singular precalibers for topological products	1
Some fixed point theorems for tree-like continua	1
Inverse limits which are P-spaces	1
Symplectic and inverse spectral geometry of integrable systems: A glimpse and open problems	1
On (monotonically) metacompact subspaces of GO-spaces and related conclusions	1
The finite coarse shape groups	1
Generalized Archimedean spaces and expansivity	1
The fundamental groupoid as a topological groupoid: Lasso topology	1
Unicity for representations of reduced stated skein algebras	1
Primitive, proper power, and Seifert curves in the boundary of a genus two handlebody	1
Constructing a coarse space with a given Higson or binary corona	1
On some locally convex FK spaces	1
The algebraic K-theory of the group ring of the Klein bottle group	1
Metrizability of partial metric spaces	1
A Conley-type Lyapunov function for the strong chain recurrent set	1
Robustness of statistical manifolds	1
Pseudo-completeness of the compact-open topology on C(X)	1
Clouds in Gromov–Hausdorff class: Their completeness and centers	1
Long colimits of topological groups II: Free groups and vector spaces	1