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Topological finiteness properties of monoids, I: Foundations [PDF]

open access: greenAlgebraic & Geometric Topology, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gray, Robert D., Steinberg, Benjamin
core   +8 more sources

On finest unitary extensions of topological monoids [PDF]

open access: diamondTopological 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.
doaj   +4 more sources

Topological embeddings into transformation monoids [PDF]

open access: greenForum Mathematicum, 2023
In this paper we consider the questions of which topological semigroups embed topologically into the full transformation monoid ℕ ℕ {\mathbb{N}^{\mathbb{N}}} or the symmetric inverse monoid I ℕ {I_{\mathbb{N}}} with their respective canonical Polish ...
S. Bardyla   +3 more
semanticscholar   +7 more sources

Topological finiteness properties of monoids. Part 2: special monoids, one-relator monoids, amalgamated free products, and HNN extensions [PDF]

open access: green, 2018
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
core   +6 more sources

Subordinators on Feller Topological Monoids [PDF]

open access: green, 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
openaire   +3 more sources

On unitary extensions and unitary completions of topological monoids

open access: diamondTopological 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. We construct extensions of this monoid where all its unitary Cauchy nets converge.
Averbukh Boris G.
doaj   +3 more sources

Completions and Fibrations for Topological Monoids [PDF]

open access: bronzeTransactions 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
openaire   +3 more sources

Bounded Sets in Topological Spaces

open access: yesAxioms, 2022
Let G be a monoid that acts on a topological space X by homeomorphisms such that there is a point x0∈X with GU=X for each neighbourhood U of x0. A subset A of X is said to be G-bounded if for each neighbourhood U of x0 there is a finite subset F of G ...
Cristina Bors   +2 more
doaj   +2 more sources

Alexandroff topologies and monoid actions

open access: yesForum Mathematicum, 2020
Given a monoid S acting (on the left) on a set X, all the subsets of X which are invariant with respect to such an action constitute the family of the closed subsets of an Alexandroff topology on X.
G. Chiaselotti, F. Infusino
semanticscholar   +4 more sources

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