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Unified characterization of exponential objects in TOP, PRTOP and PARATOP. (English) Zbl 1136.54006

The author characterizes the quasi-exponential objects in the categories \(\mathcal{TOP, PRTOP}\) and \(\mathcal{PARATOP}\) by means of a long sought unified method.

MSC:

54B30 Categorical methods in general topology
54C35 Function spaces in general topology
18B30 Categories of topological spaces and continuous mappings (MSC2010)
18B40 Groupoids, semigroupoids, semigroups, groups (viewed as categories)
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References:

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