A FIBRE-FUNCTOR CHARACTERIZATION OF TOPOLOGICAL CATEGORIES WITH PULLBACK-STABILITY

Original Articles

A FIBRE-FUNCTOR CHARACTERIZATION OF TOPOLOGICAL CATEGORIES WITH PULLBACK-STABILITY

Published in: Quaestiones Mathematicae
Volume 14 , issue 4 , 1991 , pages: 433–443
DOI: 10.1080/16073606.1991.9631661
Author(s): H.W. Bargenda Department of Mathematics, Republic of South Africa , V. Vajner Department of Mathematics, Republic of South Africa

Abstract

Every kind of pullback-stability in a topological category (A,U), for example, the (concrete) cartesian closedness, the universal topologicity, the heredity of (A,U), etc., is characterized by an internal order-theoretic condition of the associated fibre-functor of (A, U).

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