Stratifiable Locally Convex Spaces
by
Ol'ga V. Sipacheva

Theorem The free locally convex space of a stratifiable space is stratifiable.

For a Tychnoff space X, the free locally convex space of X is denoted as L(X).

Corollary For a stratifiable Tychnoff space X, each convex closed subspace of L(X) is a retract of L(X).

Some further corollaries for locally convex and functional spaces are discussed, in particular, generalizations of the Dugundji theorem and extension operators.

Date received: June 24, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caai-02.