Paper read at the Second Symposium on Categorical Topology at the University of Cape Town 9–13 August 1976

GRAPHIC EXTENSIONS OF MAPPINGS

Published in: Quaestiones Mathematicae
Volume 2 , issue 1-3 , 1977 , pages: 401–417

DOI: 10.1080/16073606.1977.9632557

Author(s): F.A. Delahan , USA , G.E. Strecker , USA

Keywords: Primary 54C10 , 54C20 , Secondary 54D25 , 54D35 , Primary 54C10 , 54C20 , Secondary 54D25 , 54D35

Abstract

Given a mapping f: X → Y and an extension e: X → [Xtilde] of X, the restriction of the projection Π: [Xtilde] X Y → Y to the closure of the graph of f in [Xtilde] X Y is called the graphic extension of f with respect to e. It is shown that this approach is widely applicable to various types of topological extensions of mappings found in the literature and often gives simpler proofs of their existence, properties, and results relating to them.

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