On generalized topological spaces I
Artur Piękosz
Annales Polonici Mathematici, Tome 107 (2013), p. 217-241 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:286589
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     title = {On generalized topological spaces I},
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Artur Piękosz. On generalized topological spaces I. Annales Polonici Mathematici, Tome 107 (2013) pp. 217-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-1/