Results 11 to 20 of about 10,259 (205)
On unitary Cauchy filters on topological monoids [PDF]
Topological Algebra and its Applications, 2013 AbstractFor Hausdorff topological monoids, the concept of a unitary Cauchy net is a generalization of the concept of a fundamental sequence of reals. We consider properties and applications of such nets and of corresponding filters and prove, in particular, that the underlying set of a given monoid, endowed with the family of such filters, forms a ...
Averbukh Boris G.
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On locally compact semitopological O-bisimple inverse ω-semigroups
Topological Algebra and its Applications, 2018 We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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Completions and fibrations for topological monoids [PDF]
Transactions of the American Mathematical Society, 1993 We show that, for a certain class of topological monoids, there is a homotopy equivalence between the homotopy theoretic group completion M + {M^ + } of a monoid M M in that class and the topologized Grothendieck group M ~ \tilde M
Paulo Lima‐Filho
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Topological finiteness properties of monoids. Part 1: Foundations
, 2017 We initiate the study of higher dimensional topological finiteness properties of monoids. This is done by developing the theory of monoids acting on CW complexes.
Gray, Robert D., Steinberg, Benjamin
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Toposes of Topological Monoid Actions [PDF]
Compositionality, 2023 We demonstrate that categories of continuous actions of topological monoids on discrete spaces are Grothendieck toposes. We exhibit properties of these toposes, giving a solution to the corresponding Morita-equivalence problem. We characterize these toposes in terms of their canonical points.
Morgan Rogers
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Fuzzy Automata Based on Lattice-ordered Monoid with Algebraic and Topological Aspects [PDF]
Fuzzy Information and Engineering, 2012 Shambhu Sharan
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Subordinators on Feller Topological Monoids
, 2022 We investigate a class of topological monoids with a suitable family of characters which we call Feller topological monoids. We extend the classical notion of subordinators to subordinators on Feller topological monoids. Under suitable assumptions, we prove a Lévy-Khintchine type representation for such subordinators.
Ulises Pérez Cendejas +1 more
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Topological groups with co-monoid structures [PDF]
Glasgow Mathematical Journal, 1977 The Eckman–Hilton duality [4] reverses arrows in diagrams, turns products to co-products, and multiplications to co-multiplications, etc. In accordance with this process, Kan [5] obtained the dual of a monoid structure in the category of groups. In this way, we obtain co-monoid structures on topological groups. The main result of this paper is that for
Elyahu Katz
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Endomorphism monoids and topological subgraphs of graphs
Journal of Combinatorial Theory, Series B, 1980 AbstractWe prove, that, given a finite graph Y there exists a finite monoid (semigroup with unity) M such that any graph X whose endomorphism monoid is isomorphic to M contains a subdivision of Y. This contrasts with several known results on the simultaneous prescribability of the endomorphism monoid and various graph theoretical properties of a graph.
László Babai, Aleš Pultr
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Non-archimedean topological monoids
Semigroup ForumAbstractWe say that a topological monoid S is left non-archimedean (in short: l-NA) if the left action of S on itself admits a proper S-compactification $$\nu :S \hookrightarrow Y$$ ν : S ↪ Y such ...
Michael Megrelishvili +1 more
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