Abstract
Originally, exponentiable pretopological spaces X (i.e. −×X preserves quotients) were described by Lowen-Colebunders and Sonck as the finitely generated ones. Following a philosophy by I. M. James, a fibrewise notion of the latter property is introduced. Surprisingly or not, it turns out to characterize exponentiable maps.
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Richter, G. A Characterization of Exponentiable Maps in PrTop . Applied Categorical Structures 11, 261–265 (2003). https://doi.org/10.1023/A:1024241115556
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DOI: https://doi.org/10.1023/A:1024241115556