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Descriptive Sets and the Topology of Nonseparable Banach Spaces

Hansell, R. (2001)

Serdica Mathematical Journal

This paper was extensively circulated in manuscript form beginning in the Summer of 1989. It is being published here for the first time in its original form except for minor corrections, updated references and some concluding comments.

Fixed point results for multivalued contractions on ordered gauge spaces

Gabriela Petruşel (2009)

Open Mathematics

The purpose of this article is to present fixed point results for multivalued E ≤-contractions on ordered complete gauge space. Our theorems generalize and extend some recent results given in M. Frigon [7], S. Reich [12], I.A. Rus and A. Petruşel [15] and I.A. Rus et al. [16].

Les stratifiés topologiques et les polyèdres

Laurent Siebenmann (1973)

Annales de l'institut Fourier

On conjecture que certains espaces localement étoilés admettent toujours une jolie stratification naturelle, et deviennent ainsi ce qu’on appelle des C S ensembles. On cite quelques propriétés agréables des C S ensembles, et quelques exemples exotiques qui distinguent les C S ensembles, les espaces triangulables, et les espaces localement triangulables.

Measures of compactness in approach spaces

R. Baekeland, Robert Lowen (1995)

Commentationes Mathematicae Universitatis Carolinae

We investigate whether in the setting of approach spaces there exist measures of relative compactness, (relative) sequential compactness and (relative) countable compactness in the same vein as Kuratowski's measure of compactness. The answer is yes. Not only can we prove that such measures exist, but we can give usable formulas for them and we can prove that they behave nicely with respect to each other in the same way as the classical notions.

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