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K-reflections of product spaces

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......

Fixed subgroups of 3-manifold group automorphisms

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......

Some characterizations of weak sobriety and upper spaces

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......

Strong homotopy in finite topological adjacency category

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......

On two problems about sobriety of topological spaces

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 ......

On some classes of quasitopological groups

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......

M-factorizability of products and tau-fine topological groups

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......

First-countability, omega-Rudin spaces and well-filtered determined spaces

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......

Supremum topological sequence entropy of circle maps

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......

Insertion theorems for countably paracompact frames and stratifiable frames

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......

On function spaces related to d-spaces

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 ......

The continuous d-open homomorphism images and subgroups of R-factorizable paratopological groups

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......

Cardinal invariants of coset spaces

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......

On fuzzifications of non-autonomous dynamical systems

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......

Some further results on the cancellation law for partially ordered sets and T-0-spaces

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......

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