On generalized topological spaces I

• Autorzy: Artur Piękosz
• Języki publikacji: EN

Abstrakty

EN

We begin a systematic study of the category GTS of generalized topological spaces (in the sense of H. Delfs and M. Knebusch) and their strictly continuous mappings. We reformulate the axioms. Generalized topology is found to be connected with the concept of a bornological universe. Both GTS and its full subcategory SS of small spaces are topological categories. The second part of this paper will also appear in this journal.

Kategorie tematyczne

• 18F10: Grothendieck topologies
• 46A17: Bornologies and related structures; Mackey convergence, etc.
• 54A05: Topological spaces and generalizations (closure spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 107
• Numer: 3
• Strony: 217-241

Daty

wydano

2013

Twórcy

autor

Artur Piękosz

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

Identyfikatory

DOI

10.4064/ap107-3-1