Factorization and local presentability in topological and uniform spaces

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Authors

HUŠEK Miroslav ROSICKÝ Jiří

Year of publication 2019
Type Article in Periodical
Magazine / Source Topology and its applications
MU Faculty or unit

Faculty of Science

Citation
Web Full Text
Doi http://dx.doi.org/10.1016/j.topol.2019.02.033
Keywords locally presentable category; realcompact space; factorization
Description Investigating dual local presentability of some topological and uniform classes, a new procedure is developed for factorization of maps defined on subspaces of products and a new characterization of local presentability is produced. The factorization is related to large cardinals and deals, mainly, with realcompact spaces. Instead of factorization of maps on colimits, local presentability is characterized by means of factorization on products.
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