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- W4241177252 abstract "An elementary system of axioms was given by F. W. Lawvere for the category of sets and mappings. The purpose of this paper is to provide a finite number of elementary axioms for the category of topological spaces and continuous mappings and to prove that any model of these axioms is equivalent to âthe category of topological spacesâ constructed over some model of Lawvereâs axioms. Furthermore, we prove that any complete category, model of the given axioms is equivalent to the category of topological spaces." @default.
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- W4241177252 date "1970-05-01" @default.
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- W4241177252 title "An Elementary Theory of the Category of Topological Spaces" @default.
- W4241177252 doi "https://doi.org/10.2307/1995676" @default.
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