Geometric topological completions with universal final lifts

M. V. Mielke

doi:10.1016/0166-8641(85)90007-0

Geometric topological completions with universal final lifts

M. V. Mielke

Mathematics

Research output: Contribution to journal › Article

5 Scopus citations

Abstract

In this paper necessary and sufficient conditions are given on a concrete category over a category B so that it can be densely embedded (over B) into a geometric topological category E that admits certain universal final lifts. These conditions, as well as the class of universal final lifts, depend upon an a priori given full subcategory Δ of B. For example, E may have, depending upon Δ and B, universal coproducts or quotients or colimits. For appropriate Δ's, if B is cartesian closed then so is E.

Original language	English (US)
Pages (from-to)	277-293
Number of pages	17
Journal	Topology and its Applications
Volume	19
Issue number	3
DOIs	https://doi.org/10.1016/0166-8641(85)90007-0
State	Published - Jun 1985

ASJC Scopus subject areas

Geometry and Topology

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Mielke, M. V. (1985). Geometric topological completions with universal final lifts. Topology and its Applications, 19(3), 277-293. https://doi.org/10.1016/0166-8641(85)90007-0

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