arXiv subjects

Warren B. Moors

Publications and source records attributed to Warren B. Moors.

3 recordsLinked to original sources

arXiv2017

On a certain generalization of $W$-spaces

We present a simple generalization of $W$-spaces introduced by G. Gruenhage. We show that this generalization leads to a strictly larger class of topological spaces which we call $\widetilde W$-spaces, and we provide several applications. Namely, we use the notion of $\widetilde W$-spaces to provide sufficient conditions for the product of two spaces to be a Baire space, for a semitopological group to be a topological group, or for a separately continuous function to be continuous at the points of a certain large set.

math.GN↗

arXiv2017

James' weak compactness theorem: an exposition

The purpose of this paper is to provide a proof of James' weak compactness theorem that is able to be taught in a first year graduate class in functional analysis.

math.FA↗

arXiv2011

Wijsman Hyperspaces: Subspaces and Embeddings

In this paper, topological properties of Wijsman hyperspaces are investigated. We study the existence of isolated points in Wijsman hyperspaces. We show that every Tychonoff space can be embedded as a closed subspace in the Wijsman hyperspace of a complete metric space which is locally R.

math.GN↗