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Topological structures and injectivity. (English) Zbl 0589.54018

Summary: We demonstrate that the concept of injectivity is fruitful for the investigation of topological structures, internally and (surprisingly) externally.

MSC:

54B30 Categorical methods in general topology
18B30 Categories of topological spaces and continuous mappings (MSC2010)
18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
18A32 Factorization systems, substructures, quotient structures, congruences, amalgams
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