Results 31 to 40 of about 116 (108)
Brandt Extensions and Primitive Topological Inverse Semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010 We study (countably) compact and (absolutely) H‐closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.
Tetyana Berezovski +3 more
wiley +1 more source
Irreducible morphisms, the Gabriel‐valued quiver and colocalizations for coalgebras
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Given a basic K‐coalgebra C, we study the left Gabriel‐valued quiver (QC, dC) of C by means of irreducible morphisms between indecomposable injective left C‐comodules and by means of the powers radm of the radical rad of the category C‐inj of the socle‐finite injective left C‐comodules. Connections between the valued quiver (QC, dC) of C and the valued
Daniel Simson
wiley +1 more source
مجلة جامعة الانبار للعلوم الصرفة, 2009 Lindelof spaces, using multifunctions, are given.Our main results are .A space X is z-compact iff for every space Y and z-closed graph multifunction on X into Y the image of every z-closed set in X, is closed in Y. A space X is z-Lindelof iff for every P-
Atallah Th. Al-Ani
doaj +1 more source
Baire spaces, k‐spaces, and some properly hereditary properties
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 22, Page 3697-3701, 2005., 2005 A topological property is properly hereditary property if whenever every proper subspace has the property, the whole space has the property. In this note, we will study some topological properties that are preserved by proper subspaces; in fact, we will study the following topological properties: Baire spaces, second category, sequentially compact ...
Adnan Al-Bsoul
wiley +1 more source
Compact‐calibres of regular and monotonically normal spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 4, Page 209-216, 2002., 2002 A topological space has calibre ω1 (resp., calibre (ω1, ω)) if every point‐countable (resp., point‐finite) collection of nonempty open sets is countable. It has compact‐calibre ω1 (resp., compact‐calibre (ω1, ω)) if, for every family of uncountably many nonempty open sets, there is some compact set which meets uncountably many (resp., infinitely many ...
David W. Mcintyre
wiley +1 more source
A note on pseudobounded paratopological groups
Topological Algebra and its Applications, 2014 Let G be a paratopological group. Then G is said to be pseudobounded (resp. ω-pseudobounded) if forevery neighbourhood V of the identity e in G, there exists a natural number n such that G = Vn (resp.we have G = ∪ n∈N Vn).
Lin Fucai, Lin Shou, Sánchez Iván
doaj +1 more source
On RG-spaces and the regularity degree
Applied General Topology, 2006 We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following, X is called RG when G(X) = C(Xδ). An RG-space must have a dense set of very weak P-points.
R. Raphael, R.G. Woods
doaj +1 more source
On weighted spaces without a fundamental sequence of bounded sets
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 449-457, 2002., 2002 The problem of countably quasi‐barrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of quasi‐barrelledness of weighted spaces in which, unlike that of Ernst and Schnettler (1986), though with a similar approach, we drop the ...
J. O. Olaleru
wiley +1 more source
On complemented copies of the space c0 in spaces Cp(X,E)$C_p(X,E)$
Mathematische Nachrichten, Volume 297, Issue 2, Page 644-656, February 2024.Abstract We study the question for which Tychonoff spaces X and locally convex spaces E the space Cp(X,E)$C_p(X,E)$ of continuous E‐valued functions on X contains a complemented copy of the space (c0)p={x∈Rω:x(n)→0}$(c_0)_p=\lbrace x\in \mathbb {R}^\omega : x(n)\rightarrow 0\rbrace$, both endowed with the pointwise topology.
Christian Bargetz +2 more
wiley +1 more source
Unions of chains of subgroups of a topologucal group
Applied General Topology, 2001 We consider the following problem: If a topological group G is the union of an increasing chain of subgroups and certain cardinal invariants of the subgroups in the chain are known, what can be said about G?
Yolanda Torres Falcón
doaj +1 more source