Results 101 to 110 of about 10,485 (179)
We show how topological methods developed in a previous article can be applied to prove new results about topological and homological finiteness properties of monoids. A monoid presentation is called special if the right-hand side of each relation is equal to $1$.
Gray, Robert D., Steinberg, Benjamin
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A left topological monoid associated to a topological groupoid
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 ...
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We show how topological methods developed in a previous article can be applied to prove new results about topological and homological finiteness properties of monoids. A monoid presentation is called special if the right-hand side of each relation is equal to 1
Robert D. Gray, Benjamin Steinberg
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Topological Degree of Shift Spaces on Monoids
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 ...
Ban, Jung-Chao +2 more
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What is category theory to cognitive science? Compositional representation and comparison. [PDF]
Phillips S.
europepmc +1 more source
Entropy as a Topological Operad Derivation. [PDF]
Bradley TD.
europepmc +1 more source
An Entropy Metric for Regular Grammar Classification and Learning with Recurrent Neural Networks. [PDF]
Zhang K, Wang Q, Giles CL.
europepmc +1 more source
Brauer and partition diagram models for phylogenetic trees and forests. [PDF]
Francis A, Jarvis PD.
europepmc +1 more source
Dynamical symmetry indicators for Floquet crystals. [PDF]
Yu J, Zhang RX, Song ZD.
europepmc +1 more source
A differentiable monoid of smooth maps on Lie groupoids
In this article we investigate a monoid of smooth mappings on the space of arrows of a Lie groupoid and its group of units. The group of units turns out to be an infinite-dimensional Lie group which is regular in the sense of Milnor.
Amiri, Habib, Schmeding, Alexander
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