Results 21 to 30 of about 10,259 (205)
Topological Degree of Shift Spaces on Monoids
, 2018 This paper considers the topological degree of $G$-shifts of finite type for the case where $G$ is a nonabelian monoid. Whenever the Cayley graph of $G$ has a finite representation and the relationships among the generators of $G$ are determined by a matrix $A$, the coefficients of the characteristic polynomial of $A$ are revealed as the number of ...
Jung‐Chao Ban +2 more
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A left topological monoid associated to a topological groupoid
, 2013 This paper presents a fanctor $S$ from the category of groupoids to the category of semigroups. Indeed, a monoid $S_G$ with a right zero element is related to a topological groupoid $G$. The monoid $S_G$ is a subset of $C(G,G)$, the set of all continuous functions from $G$ to $G$, and with the compact- open topology inherited from C(G,G) is a left ...
Habib Amiri
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Factorisation in Topological Monoids
, 1999 The aim of this paper is sketch a theory of divisibility and factorisation in topological monoids, where finite products are replaced by convergent products. The algebraic case can then be viewed as the special case of discretely topologised topological monoids.
Jan Snellman
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Schneider-Teitelbaum duality for locally profinite groups [PDF]
Categories and General Algebraic Structures with Applications, 2021 We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures.
Tomoki Mihara
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On topologization of the bicyclic monoid
Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna, 2023 8 ...
Chornenka, Adriana, Gutik, Oleg
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Topology with monoidal control [PDF]
Homology, Homotopy and Applications, 2002 This paper defines monoidal control, which is a specialization of control by entourage as presented in [5]. It is shown that on metric spaces monoidal control generalizes bounded control, and describes continuous control. A systematic way of obtaining results from bounded control, in the sense of [1], as results of monoidal-, and hence continouos ...
Christensen, René Depont +1 more
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Topological embeddings into transformation monoids [PDF]
Forum MathematicumAbstract In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid ℕ ℕ
Serhii Bardyla +3 more
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A topological groupoid representing the topos of presheaves on a monoid [PDF]
Applied Categorical Structures, 2019 Butz and Moerdijk famously showed that every (Grothendieck) topos with enough points is equivalent to the category of sheaves on some topological groupoid. We give an alternative, more algebraic construction in the special case of a topos of presheaves on an arbitrary monoid. If the monoid is embeddable in a group, the resulting topological groupoid is
Jens Hemelaer
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Topological Transformation Monoids
, 2018 21 pages. The second version has a new result, showing that there is only one Polish semigroup topology on T(X) when X is ...
Zachary Mesyan +2 more
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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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