Results 21 to 30 of about 430 (166)
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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Reconstructing the Topology on Monoids and Polymorphism Clones of the Rationals [PDF]
Studia Logica, 2016 We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the rational numbers under the reflexive relation. In addition we show how automatic homeomorphicity results can be lifted to polymorphism clones generated by monoids.
Mike Behrisch +2 more
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On the singular braid monoid of an orientable surface [PDF]
, 2004 In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.Ministerio de Ciencia y TecnologíaJunta de ...
González-Meneses López, Juan +2 more
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Topologizations of a set endowed with an action of a monoid
Topology and its Applications, 2014 Given a set $X$ and a family $G$ of self-maps of $X$, we study the problem of the existence of a non-discrete Hausdorff topology on $X$ with respect to which all functions $f\in G$ are continuous. A topology on $X$ with this property is called a $G$-topology.
Banakh, Taras +2 more
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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 ...
Mesyan, Z. +2 more
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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, Ales Pultr
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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.
Cendejas, Ulises Pérez +1 more
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ON THE ZARISKI TOPOLOGY ON ENDOMORPHISM MONOIDS OF OMEGA-CATEGORICAL STRUCTURES
The Journal of Symbolic Logic, 2023 Abstract The endomorphism monoid of a model-theoretic structure carries two interesting topologies: on the one hand, the topology of pointwise convergence induced externally by the action of the endomorphisms on the domain via evaluation; on the other hand, the Zariski topology induced within the monoid by (non ...
PINSKER, MICHAEL, SCHINDLER, CLEMENS
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ON FREE AND PROJECTIVE S-SPACES AND FLOWS OVER A TOPOLOGICAL MONOID
, 2010 In this paper, we study free and projective flows and S-spaces, and we characterize free and projective flows over a compact topological monoid S. Similarly, we characterize the same objects in the category of S-spaces for an arbitrary topological ...
Behnam Khosravi
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Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source