Results 1 to 10 of about 430 (166)

A Topological Groupoid Representing the Topos of Presheaves on a Monoid [PDF]

open access: yesApplied Categorical Structures, 2020
: 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
Jens Hemelaer
exaly   +6 more sources

On finest unitary extensions of topological monoids

open access: yesTopological Algebra and Its Applications, 2015
We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative ...
Averbukh Boris G.
exaly   +5 more sources

Analysis of Topological Endomorphism of Fuzzy Measure in Hausdorff Distributed Monoid Spaces

open access: yesSymmetry, 2019
The concepts of fuzzy sets and topology are widely applied to model various algebraic structures and computations. The dynamics of fuzzy measures in topological spaces having distributed monoid embeddings is an interesting topic in the presence of ...
Susmit Bagchi
exaly   +2 more sources

A criterion of the existence of an embedding of a monothetic monoid into a topological group

open access: yesTopological Algebra and Its Applications, 2019
Using properties of unitary Cauchy filters on monothetic monoids, we prove a criterion of the existence of an embedding of such a monoid into a topological group.
Averbukh Boris G.
exaly   +2 more sources

On unitary extensions and unitary completions of topological monoids

open access: yesTopological 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.
Averbukh Boris G.
exaly   +2 more sources

Topological finiteness properties of monoids Part 1: Foundations [PDF]

open access: yes, 2022
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, Steinberg, Benjamin
core   +1 more source

Properties of the subsemigroups of the bicyclic monoid [PDF]

open access: yes, 2002
In this paper we study some properties of the subsemigroups of the bicyclic monoid B, by using a recent description of its subsemigroups. We start by giving necessary and sufficient conditions for a subsemigroup to be finitely generated.
Ruskuc, Nik   +3 more
core   +1 more source

Boundary-Border Extensions of the Kuratowski Monoid

open access: yes, 2023
The Kuratowski monoid $\mathbf{K}$ is generated under operator composition by closure and complement in a nonempty topological space. It satisfies $2\leq|\mathbf{K}|\leq14$.
Bowron, Mark
core   +1 more source

Special Subset Linguistic Topological Spaces [PDF]

open access: yes, 2023
In this book, authors, for the first time, introduce the new notion of special subset linguistic topological spaces using linguistic square matrices. This book is organized into three chapters. Chapter One supplies the reader with the concept of ling set,
Smarandache, Florentin
core   +2 more sources

A note on coclones of topological spaces [PDF]

open access: yes, 2011
summary:The clone of a topological space is known to have a strictly more expressive first-order language than that of the monoid of continuous self-maps. The current paper studies coclones of topological spaces (i.e.
Barkhudaryan, Artur
core   +1 more source

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