Results 41 to 50 of about 560 (152)
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
Extremal pseudocompact abelian groups are compact metrizable [PDF]
, 2007 Every pseudocompact Abelian group of uncountable weight has both a proper dense pseudocompact subgroup and a strictly finer pseudocompact group topology.
van Mill, J. +4 more
core +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
Pseudocompactness of hyperspaces
Topology and its Applications, 2007 Pour tout espace \(X\), soit \(2^X\) l'espace des fermés non vides de \(X\) muni de la topologie de Vietoris. Les auteurs étudient la question de savoir si la pseudocompacité du produit dénombrable \(X^\omega\) entraîne la pseudocompacité de \(2^X\), et construisent un exemple montrant que ce n'est pas toujours le cas. Ils considèrent en particulier le
Hrušák, Michael +2 more
openaire +1 more source
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +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
Maximal pseudocompact spaces [PDF]
, 1994 summary:Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal ...
Stephenson, R. M., Jr. +2 more
core
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