Results 11 to 20 of about 16,532 (225)

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

Pseudocompact and precompact topological subsemigroups of topological groups

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
doaj   +1 more source

Some faces of Smarandache semigroups' concept in transformation semigroups' approach [PDF]

open access: yes, 2007
In the following text, the main aim is to distinguish some relations between Smarad- che semigroups and (topological) transformation semigroups areas.
Ayatollah, Zadeh Shirazi, Hosseini, A.
core   +1 more source

Pseudocompact Primitive Topological Inverse Semigroups [PDF]

open access: yesJournal of Mathematical Sciences, 2014
In the paper we study pseudocompact primitive topological inverse semigroups. We describe the structure of pseudocompact primitive topological inverse semigroups and show that a Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space.
Gutik, Oleg, Pavlyk, Kateryna
openaire   +2 more sources

Semigroups and their topologies arising from Green's left quasiorder

open access: yesApplied General Topology, 2008
Given a semigroup (S, ·), Green’s left quasiorder on S is given by a ≤ b if a = u · b for some u ϵ S1. We determine which topological spaces with five or fewer elements arise as the specialization topology from Green’s left quasiorder for an appropriate ...
Bettina Richmond
doaj   +1 more source

Topological Additively Representable Semigroups

open access: yesJournal of Mathematical Analysis and Applications, 1997
A totally ordered set \((S,\lesssim)\) is called representable if there exists a map \(\mu: X\to\mathbb{R}\) such that \(x\lesssim y\) if and only if \(\mu(x) \leq\mu(y)\) for every \(x,y\in X\). This paper is to extend the above concept to totally ordered connected topological semigroups.
Candeal, Juan Carlos   +2 more
openaire   +2 more sources

Topological graph inverse semigroups

open access: yesTopology and its Applications, 2016
25 pages.
Mesyan, Z.   +3 more
openaire   +5 more sources

Extending binary operations to funtor-spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
Given a continuous monadic functor $T:\mathbf{Comp}\to\mathbf{Comp}$ in the category of compacta and a discrete topological semigroup $X$ we extend the semigroup operation $\varphi:X\times X\to X$ to a right-topological semigroup operation $\Phi:T\beta X\
T. O. Banakh, V. M. Gavrylkiv
doaj   +1 more source

Semigroups of Right Quotients of Topological Semigroups [PDF]

open access: yesTransactions of the American Mathematical Society, 1970
Es sei \(S=(S, \cdot, \mathfrak S)\) eine topologische Halbgruppe und \(T= (T, \cdot) = Q_r(S,\Sigma)\) eine Rechtsquotientenhalbgruppe von \(S\) bezüglich einer Unterhalbgruppe \(\Sigma\) von \(S\). Gegenstand der Arbeit ist die Untersuchung von Topologien \(\mathfrak T\) auf \(T\), so daß \((T, \cdot, \mathfrak T)\) topologische Halbgruppe ist und \(\
openaire   +2 more sources

A Note on the Topology of Space-time in Special Relativity [PDF]

open access: yes, 2003
We show that a topology can be defined in the four dimensional space-time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space-time elements as well as the key properties of special relativity ...
Bohm A   +5 more
core   +3 more sources

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