On generalized topological spaces I

Artur Piękosz. "On generalized topological spaces I." Annales Polonici Mathematici 107.3 (2013): 217-241. <http://eudml.org/doc/286589>.

@article{ArturPiękosz2013,
abstract = {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.},
author = {Artur Piękosz},
journal = {Annales Polonici Mathematici},
keywords = {generalized topological space; Grothendieck topology; bornological universe},
language = {eng},
number = {3},
pages = {217-241},
title = {On generalized topological spaces I},
url = {http://eudml.org/doc/286589},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Artur Piękosz
TI - On generalized topological spaces I
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 3
SP - 217
EP - 241
AB - 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.
LA - eng
KW - generalized topological space; Grothendieck topology; bornological universe
UR - http://eudml.org/doc/286589
ER -