期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 289 ()
Let Top(d), Top(w )and Sob be the category of all d-spaces, that of all well-filtered spaces and that of all sober spaces respectively. For a full sub......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 297 ()
We present a 3-manifold automorphism f : M -> M with rank Fix(f*) = 2rank pi(1)(M). Related facts are discussed. (C) 2021 Published by Elsevier B.V......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 298 ()
Weak sobriety is a topological property that gives rise to a categorical equivalence between topological spaces and distributive lattices without a le......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 300 ()
The present paper investigates a strong homotopy (i.e., SA-homotopy) in a finite topological adjacency category. We prove that two minimal finite spac......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 295 ()
In this paper, we answer two problems concerning sobriety. One concerns the existence of a closed set lattice whose Scott space is non-sober. Another ......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 295 ()
In this paper, we mainly consider some cardinal invariants and grasps of quasitopological groups and some properties of two classes of quasitopologica......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 296 ()
Our main objective is a further study of M-factorizability in topological groups as defined in Zhang, Peng, He, Tkachenko (2020) [15]. We focus on top......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 300 ()
In this paper, we investigate some versions of d-space, well-filtered space and Rudin space concerning various countability properties. It is proved t......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 295 ()
In this paper some formulas of supremum topological sequence entropy h(top)(infinity)(f) are investigated for circle maps. If f is a circle map then h......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 299 ()
The notion of localic real functions was introduced by Gutierrez Garcia et al. with which pointfree forms of insertion theorems for some classes of to......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 300 ()
For certain property R of topological T-0-spaces, we prove that if T-0-space Y has property R, then [X, Y] endowed with the Isbell topology possesses ......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 300 ()
In this paper, we prove the following results: (1) Let f : G -> H be a continuous d-open surjective homomorphism; if G is an R-factorizable paratop......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 299 ()
A topological space X is called a coset space if X is homeomorphic to a quotient space G/H of left cosets, for some closed subgroup H of a topological......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 297 ()
In this paper, we derive a sharp condition on the equivalence of topological transitivity among an interval autonomous dynamical system, its induced s......
期刊： TOPOLOGY AND ITS APPLICATIONS, 2021; 300 ()
In this paper, we continue the study of the cancellation problem for the cartesian product of partially ordered sets (posets for short) and of T-0-spa......
