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

AN AXIOMATIC APPROACH TO CATEGORIES OF TOPOLOGICAL ALGEBRAS

Published in: Quaestiones Mathematicae
Volume 2 , issue 1-3 , 1977 , pages: 113–137

DOI: 10.1080/16073606.1977.9632537

Author(s): TempleH. Fay ,

Keywords: 18A20 , 18A40 , 18B99

Abstract

Consider a commuting square of functors TV = GU where G is an algebraic functor over sets (in the sense of Herrlich), and T and U are (regular epi, monosource)—topological and fibre small. Such a square is called a Topological Algebraic Situation (TAS) when the following two conditions are satisfied:

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