Results 1 to 10 of about 430 (166)
A Topological Groupoid Representing the Topos of Presheaves on a Monoid [PDF]
: 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
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
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
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
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]
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]
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
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]
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]
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

