Results 41 to 50 of about 1,218,583 (226)

Continuous images of Cantor's ternary set

, 2013
The Hausdorff-Alexandroff Theorem states that any compact metric space is the continuous image of Cantor's ternary set $C$. It is well known that there are compact Hausdorff spaces of cardinality equal to that of $C$ that are not continuous images of ...
Dreher, Fabian, Samuel, Tony
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COMPACT-F AND LINDEL o F- C SPACES

Journal of Kufa for Mathematics and Computer, 2010
In this paper, we introduce and study compact-F and Lindelof -C Spaces .Compact-F space is a topological space in which every compact subset is finite, Lindelof-C Space is a topological space in which every Lindelof subsets is countable several ...
Hadi J. Mustafa
doaj   +1 more source

$G_\delta$-topology and compact cardinals

, 2018
For a topological space $X$, let $X_\delta$ be the space $X$ with $G_\delta$-topology of $X$. For an uncountable cardinal $\kappa$, we prove that the following are equivalent: (1) $\kappa$ is $\omega_1$-strongly compact.
Usuba, Toshimichi
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Vietoris topology on spaces dominated by second countable ones

Open Mathematics, 2015
For a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = {FK : K ∈ C(M)} ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂
Islas Carlos, Jardon Daniel
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Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces

مجلة بغداد للعلوم, 2019
In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy ...
Kider et al.
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The Complex Stone-Weierstrass Property

, 2003
C(X) denotes the space of continuous complex-valued functions on the compact Hausdorff space X. X has the CSWP if every subalgebra of C(X) which separates points and contains the constant functions is dense in C(X). W.
Kunen, Kenneth
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Spaces of compact operators [PDF]

Mathematische Annalen, 1974
In this paper we study the structure of the Banach space K(E, F) of all compact linear operators between two Banach spaces E and F. We study three distinct problems: weak compactness in K(E, F), subspaces isomorphic to l~ and complementation of K(E, F) in L(E, F), the space of bounded linear operators.
openaire   +1 more source

When is an ultracomplete space almost locally compact?

Applied General Topology, 2006
We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having all points of non-local compactness ...
Daniel Jardón Arcos, Vladimir V. Tkachuk   +1 more
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On Fuzzy Feebly Compact Space

Wasit Journal for Pure Sciences
The object of this work to introduce a new form of fuzzy compact space in  a fuzzy topological space, named by fuzzy feebly compact space. It is stronger than a fuzzy compact space.
Saad Mahdi Jaber
doaj   +1 more source

Some topological invariants and biorthogonal systems in Banach spaces [PDF]

, 2011
We consider topological invariants on compact spaces related to the sizes of discrete subspaces (spread), densities of subspaces, Lindelof degree of subspaces, irredundant families of clopen sets and others and look at the following associations between ...
Koszmider, Piotr
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