Results 71 to 80 of about 687 (157)

opological monoids of almost monotone injective co-finite partial selfmaps of positive integers

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2010
In this paper we study the semigroup$mathscr{I}_{infty}^{,Rsh!!!earrow}(mathbb{N})$ of partialco-finite almost monotone bijective transformations of the set ofpositive integers $mathbb{N}$.
Chuchman I.Ya., Gutik O.V.
doaj  

On inverse submonoids of the monoid of almost monotone injective co-finite partial selfmaps of positive integers

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
doaj   +1 more source

On retracting properties and covering homotopy theorem for S-maps into Sχ-cofibrations and Sχ-fibrations

open access: yesJournal of the Egyptian Mathematical Society, 2016
In this paper we generalize the retracting property in homotopy theory for topological semigroups by introducing the notions of deformation S-retraction with its weaker forms and ES-homotopy extension property. Furthermore, the covering homotopy theorems
Amin Saif, Adem Kılıçman
doaj   +1 more source

Principal topologies and transformation semigroups

open access: yesTopology and its Applications, 2008
AbstractFor a given set X, the set F(X) of all maps from X to X forms a semigroup under composition. A subsemigroup S of F(X) is said to be saturated if for each x∈X there exists a set Ox⊆X with x∈Ox such that S={f∈F(X)|f(x)∈Ox∀x∈X}. It is shown that there exists a one-to-one correspondence between principal topologies on X and saturated subsemigroups ...
openaire   +2 more sources

Categorically Closed Topological Groups

open access: yesAxioms, 2017
Let C → be a category whose objects are semigroups with topology and morphisms are closed semigroup relations, in particular, continuous homomorphisms.
Taras Banakh
doaj   +1 more source

On some local topological semigroups [PDF]

open access: yesAequationes Mathematicae, 1992
We determine all continuous functionsf, defined on a real intervalI with 0∈ I, taking values in ℝ and such that the operationAf:I × I → ℝ given by $$A_f (x,y) = xf(y) + yf(x)$$ is locally associative, i.e., for allx, y, z ∈ I, ifAf(x, y) ∈ I andAf(y, z) ∈ I, thenAf(Af(x, y), z) = Af(x, Af(y, z)).
openaire   +1 more source

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