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Fibrewise convergence and exponential laws. (English) Zbl 0783.18005
Some simple facts concerning power-objects in comma-categories of the category of convergence spaces are presented.

MSC:
18D15 Closed categories (closed monoidal and Cartesian closed categories, etc.)
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
18B30 Categories of topological spaces and continuous mappings (MSC2010)
18A25 Functor categories, comma categories
54C35 Function spaces in general topology
55R05 Fiber spaces in algebraic topology
54B30 Categorical methods in general topology
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