Results 31 to 40 of about 66 (65)
On the Borel complexity and the complete metrizability of spaces of metrics
Analysis and Geometry in Metric SpacesGiven a metrizable space XX, let AM(X)AM\left(X) be the space of continuous bounded admissible metrics on XX, which is endowed with the sup-metric. In this article, we shall investigate the Borel complexity and the complete metrizability of AM(X)AM\left ...
Koshino Katsuhisa
doaj +1 more source
On τ−covers using ideals and some of its consequences
, 2019 In this paper we primarily introduce an ideal version of τ-covers studied in [18, 19]. We establish the inter-relationships between I-τ-covers and I-γ , I-large [3, 5] and κ-covers[2, 7].
Chandra, Debraj +2 more
core
Exponential law and theta-continuous functions
, 1985 The category θ-Top of topological spaces and θ-continuous functions is not Cartesian closed; but it is known that under certain local property assumptions, the exponential law in θ-Top is fulfilled.
DI CONCILIO, Anna
core
, 1997 . Semiuniform convergence spaces form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces) with many convenient properties such as cartesian ...
Gerhard Preu, Gerhard Preuß
core
Two point-picking games derived from a property of function spaces
, 2018 We present a study of two versions of the point-picking game defined by Berner and Juhasz. Given a space X there are two rivals O and P who take turns playing on X. In the n-th round Player O takes a non-empty open subset Un of the space X and P responds
Tkachuk, Vladimir V.
core
Function Algebras And The Lattice Of Compactifications
, 2007 . We provide some conditions as to when K(X) ¸ = K(Y ) for two locally compact spaces X and Y (where K(X) is the lattice of all Hausdorff compactifications of X). More specifically, we prove that K(X) ¸ = K(Y ) if and only if C (X)=C 0 (X) ¸ = C
Franklin Mendivil
core
, 2010 The authors consider for a bounded subset H of a Banach space E the De Blasi measure of weak noncompactness w(H) and the measure of weak noncompactness g(H) based on Grothendieck’s double limit criterion.
CAPONETTI, Diana
core
LΣ(≤ ω)-spaces and spaces of continuous functions
Open Mathematics, 2010 Lara Israel, Okunev Oleg
doaj +1 more source
The Lindelöf number of C p(X)×C p(X) for strongly zero-dimensional X
Open Mathematics, 2011 Okunev Oleg
doaj +1 more source