Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology.At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.
拓扑学及其应用主要涉及发表中等长度的原创研究论文。然而，也包括了数量有限的精心挑选的调查或说明性论文。数学的重点是该杂志所建议的标题：研究拓扑学。这是觉得这是不可取的尝试一个明确的描述拓扑理解为这本杂志。当然，这一主题包括代数，一般，几何，和集理论方面的拓扑以及相互作用的领域之间的拓扑和其他数学学科，如拓扑代数，拓扑动力学，功能分析，范畴论。由于拓扑学的各个方面的作用不断变化，因此不具体的主题划分可以反映拓扑学研究的现状。该杂志定期出版题为拓扑学中的开放问题的部分，由J.货车Mill和G. M.里德。这是一份关于1100个问题的状态报告，这些问题在1990年由North-Holland出版的同名书籍中列出，由货车Mill和Reed编辑。
Unpredictable points and stronger versions of Ruelle–Takens and Auslander–Yorke chaos
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.11.023
Coexistence of periodic solutions with various periods of impulsive differential equations and inclusions on tori via Poincaré operators
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.01.008
Cardinalities of weakly Lindelöf spaces with regular Gκ-diagonals
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.023
Some thoughts on countable Lindelöf products
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.037
Subgroups of products of strongly metrizable semitopological groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.11.012
A minicourse on topological games
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.057
Image partition regularity of matrices over commutative semigroups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.030
Vanishing nontrivial elements in a knot group by Dehn fillings
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.023
Product formula for the fixed point index of a fibre preserving map defined locally
来源期刊：Topology and its ApplicationsDOI：10.1016/j.topol.2019.106895
On a hypothesis for ℵ0-bounded groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.058
Domination by countably compact spaces and hyperspaces
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.12.001
The Gδ-density nucleus of a compact abelian group
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.029
Properness of foliations
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.12.008
Minimally intersecting filling pairs on the punctured surface of genus two
来源期刊：Topology and its ApplicationsDOI：10.1016/j.topol.2018.12.011
Topologies of the quotient spaces induced by the M-topological plane and the infinite M-topological sphere
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.016
Reducible mapping class of the canonical Heegaard splitting in a mapping torus
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.03.015
The evolution of non-degenerate and degenerate rendezvous tasks
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.015
On minimal homeomorphisms and non-invertible maps preserving foliations
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.11.024
A useful common weakening of Lindelöf and H-closed
来源期刊：Topology and its ApplicationsDOI：10.1016/j.topol.2019.106910
Universal G-spaces for proper free actions
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.034
Hyperspaces of generalized continua which are infinite cylinders
来源期刊：Topology and its ApplicationsDOI：10.1016/j.topol.2019.106829
High-dimensional networks and spanning forests
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.007
A study of chain conditions and dually properties
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.12.009
Adapted splittings for pairs (G,W)
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.11.026
Ultrametrics on Čech homology groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.03.010
Selective versions of θ-density
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.061
Predecessors of topologies of LCA groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.106843
Mod p homology of F4–gauge groups over S4
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.010
Coarse metric and uniform metric
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.03.017
Subgroup commutativity degree of profinite groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.05.025
Compacta and homogeneity. Some globalization effects
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.02.026
The SIN property in homeomorphism groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.10.010
Higher-order finite type invariants of classical and virtual knots and unknotting operations
来源期刊：Topology and its ApplicationsDOI：10.1016/j.topol.2019.06.019
Weakly Whitney preserving maps
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.05.010
Strong topological shift equivalence for dynamical systems
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.106830
Mixing homeomorphisms and indecomposability
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.12.012
Thin representations for the one-cone torus group
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.025
Extending bonding functions in generalized inverse sequences
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.12.004
Genus of the hypercube graph and real moment-angle complexes
来源期刊：Topology and its ApplicationsDOI：10.1016/j.topol.2019.03.009
Torus actions of generalized odd type on oriented manifolds
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.035
PFA(S) and countable tightness
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.01.021
Some three-space properties of semitopological and paratopological groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.05.002
Lower continuous topological groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.106840
The Sylow structure of scalar automorphism groups
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.05.027
PFA(S) and automorphisms of P(N)/fin
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.11.007
Isovariant fibrant spaces
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.06.031
Topology of a 4D universe for every 3-manifold
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.08.017
Products of Lindelöf spaces with points Gδ
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2018.11.019
More general averaging formulae for preimage classes
来源期刊：Topology and its ApplicationsDOI：10.1016/j.topol.2019.106875
Continua whose hyperspace of nonblockers of F1(X) is a continuum
来源期刊：Topology and its ApplicationsDOI：10.1016/J.TOPOL.2019.05.007
