Results 31 to 40 of about 10,259 (205)

On the Structure of Topological Spaces

open access: yesAxioms, 2022
The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
doaj   +1 more source

On equality sets of morphisms in topological free monoids [PDF]

open access: bronzeRAIRO - Theoretical Informatics and Applications, 1991
Dans un monoide libre muni de la topologie de groupes finis nous considerons l'ensemble d'egalite de morphismes et nous demontrons qu'il est dense nulle ...
Wit Foryś
openalex   +3 more sources

A Levi–Civita Equation on Monoids, Two Ways

open access: yesAnnales Mathematicae Silesianae, 2022
We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
doaj   +1 more source

Commutative Topological Semigroups Embedded into Topological Abelian Groups

open access: yesAxioms, 2020
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj   +1 more source

Closed subsets of compact-like topological spaces

open access: yesApplied General Topology, 2020
We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
doaj   +1 more source

Mapping spaces from projective spaces [PDF]

open access: yes, 2015
We denote the $n$-th projective space of a topological monoid $G$ by $B_nG$ and the classifying space by $BG$. Let $G$ be a well-pointed topological monoid of the homotopy type of a CW complex and $G'$ a well-pointed grouplike topological monoid.
Tsutaya, Mitsunobu
core   +1 more source

On cofree S-spaces and cofree S-flows

open access: yesApplied General Topology, 2012
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
doaj   +1 more source

Alexandroff topologies and monoid actions

open access: yesForum Mathematicum, 2020
Abstract 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. Conversely, we prove that any Alexandroff topology may be obtained through a monoid action.
Giampiero Chiaselotti   +1 more
openaire   +3 more sources

Positive answers to Koch’s problem in special cases

open access: yesTopological Algebra and its Applications, 2020
A topological semigroup is monothetic provided it contains a dense cyclic subsemigroup. The Koch problem asks whether every locally compact monothetic monoid is compact.
Banakh Taras   +4 more
doaj   +1 more source

Toric varieties, monoid schemes and $cdh$ descent [PDF]

open access: yes, 2012
We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid schemes.
Cortiñas, Guillermo   +3 more
core   +4 more sources

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