Title

Embeddings of compact convex sets and locally compact cones

Document Type

Article

Publication Date

1-1-1976

Abstract

The main result of this paper is that a compact convex set with a basis of neighborhoods (not necessarily open) at each point which are convex can be embedded in a locally convex separated topological vector space. An analogous result is proved for locally compact cones. Along the way it is shown that any compact convex set can be embedded as a base of a locally compact cone in a separated topological vector space, and that the various notions of local convexity coincide in a compact convex set. © 1976, University of California, Berkeley. All Rights Reserved.

Publication Source (Journal or Book title)

Pacific Journal of Mathematics

First Page

443

Last Page

453

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