Paper read at the Symposium on Categorical Algebra and Topology University of Cape Town 29 June—3 July 1981

FAITHFULNESS VS. TOPOLOGICITY

Published in: Quaestiones Mathematicae
Volume 6 , issue 1-3 , 1983 , pages: 255–264

DOI: 10.1080/16073606.1983.9632303

Author(s): G.E. Strecker Dept. of Mathematics Kansas State, U.S.A. , T. Titcomb , U.S.A.

Keywords: Primary: 18A22: , Secondary: 18A40 , 18B30.

Abstract

The fact that faithful functors are intimately connected with functors of topological type has been known for scene time. Here, we make the connection precise by introducing the notion of relatively topological functors, and characterize faithful functors as precisely those that are topological relative to a certain “natural” family of sources. Some other standard functor properties are also shown to have relative topological descriptions.

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