A+ CATEGORY SCIENTIFIC UNIT

On generalized topological spaces II

Volume 108 / 2013

Artur Piękosz Annales Polonici Mathematici 108 (2013), 185-214 MSC: Primary 54A05; Secondary 03C07, 46A17, 06B99. DOI: 10.4064/ap108-2-4

Abstract

This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217–241]. The categories ${\bf GTS}(M)$, with $M$ a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.

Authors

  • Artur PiękoszInstytut Matematyki
    Politechnika Krakowska
    Warszawska 24
    31-155 Kraków, Poland
    e-mail

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