Results 21 to 30 of about 10,485 (179)
Free inverse monoids are not ${\protect \rm FP}_2$
Comptes Rendus. Mathématique, 2021 We give a topological proof that a free inverse monoid on one or more generators is neither of type left-$\mathrm{FP}_2$ nor right-$\mathrm{FP}_2$. This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.
Gray, Robert D., Steinberg, Benjamin
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On the Structure of Topological Spaces
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
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Topological finiteness properties of monoids, I: Foundations
Algebraic & Geometric Topology, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gray, Robert D., Steinberg, Benjamin
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A Levi–Civita Equation on Monoids, Two Ways
Annales Mathematicae Silesianae, 2022 We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
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UPPER BOUND FOR MONOIDAL TOPOLOGICAL COMPLEXITY
Kyushu Journal of Mathematics, 2020 Summary: We show that \(\text{tc}^{\text{M}}(M) \leq 2 \text{ cat}(M)\) for a finite simplicial complex \(M\). For example, we have \(\text{tc}^{\text{M}}(S^n \vee S^m) = 2\) for any positive integers \(n\) and \(m\).
Iwase, Norio, Tsutaya, Mitsunobu
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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Mapping spaces from projective spaces [PDF]
, 2015 We denote the $n$-th projective space of a topological monoid $G$ by $B_nG$ and the classifying space by $BG$. Let $G$ be a well-pointed topological monoid of the homotopy type of a CW complex and $G'$ a well-pointed grouplike topological monoid.
Tsutaya, Mitsunobu
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On cofree S-spaces and cofree S-flows
Applied General Topology, 2012 Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
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Closed subsets of compact-like topological spaces
Applied General Topology, 2020 We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
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On unitary extensions and unitary completions of topological monoids
Topological Algebra and its Applications, 2016 The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
Averbukh Boris G.
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