Results 31 to 40 of about 226 (114)
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
On the maximal G‐compactification of products of two G‐spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Let G be any Hausdorff topological group and let βGX denote the maximal G‐compactification of a G‐Tychonoff space X. We prove that if X and Y are two G‐Tychonoff spaces such that the product X × Y is pseudocompact, then βG(X × Y) = βGX × βGX.
Natella Antonyan
wiley +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
Purity of the ideal of continuous functions with pseudocompact support
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 381-388, 2002., 2002 Let CΨ(X) be the ideal of functions with pseudocompact support and let kX be the set of all points in υX having compact neighborhoods. We show that CΨ(X) is pure if and only if βX − kX is a round subset of βX, CΨ(X) is a projective C(X)‐module if and only if CΨ(X) is pure and kX is paracompact. We also show that if CΨ(X) is pure, then for each f ∈ CΨ(X)
Emad A. Abu Osba
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
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
The non-equivalence of two definitions of selective pseudocompactness [PDF]
, 2017 We show that two possible definitions of selective pseudocompactness are not equivalent in the class of $T_1$ topological ...
lipparini, paolo
core
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
Some properties of the ideal of continuous functions with pseudocompact support
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 3, Page 169-176, 2001., 2001 Let C(X) be the ring of all continuous real‐valued functions defined on a completely regular T1‐space. Let CΨ(X) and CK(X) be the ideal of functions with pseudocompact support and compact support, respectively. Further equivalent conditions are given to characterize when an ideal of C(X) is a P‐ideal, a concept which was originally defined and ...
E. A. Abu Osba, H. Al-Ezeh
wiley +1 more source