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A sufficient condition of full normality

Tomáš Kaiser (1996)

Commentationes Mathematicae Universitatis Carolinae

We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.

Almost locatedness in uniform spaces

Douglas Bridges, Hajime Ishihara, Ray Mines, Fred Richman, Peter Schuster, Luminiţa Vîţă (2007)

Czechoslovak Mathematical Journal

A weak form of the constructively important notion of locatedness is lifted from the context of a metric space to that of a uniform space. Certain fundamental results about almost located and totally bounded sets are then proved.

Approximate inverse systems of uniform spaces and an application of inverse systems

Michael G. Charalambous (1991)

Commentationes Mathematicae Universitatis Carolinae

The fundamental properties of approximate inverse systems of uniform spaces are established. The limit space of an approximate inverse sequence of complete metric spaces is the limit of an inverse sequence of some of these spaces. This has an application to the dimension of the limit space of an approximate inverse system. A topologically complete space with dim n is the limit of an approximate inverse system of metric polyhedra of dim n . A completely metrizable separable space with dim n is the limit of an...

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