On generalized topological spaces II

• Autorzy: Artur Piękosz
• Języki publikacji: EN

Abstrakty

EN

This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217-241]. The categories 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.

Kategorie tematyczne

• 46A17: Bornologies and related structures; Mackey convergence, etc.
• 06B99: None of the above, but in this section
• 03C07: Basic properties of first-order languages and structures
• 54A05: Topological spaces and generalizations (closure spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 108
• Numer: 2
• Strony: 185-214

Daty

wydano

2013

Twórcy

autor

Artur Piękosz

• Instytut Matematyki, Politechnika Krakowska, Warszawska 24, 31-155 Kraków, Poland

Identyfikatory

DOI

10.4064/ap108-2-4