On generalized topological spaces II

Artur Piękosz. "On generalized topological spaces II." Annales Polonici Mathematici 108.2 (2013): 185-214. <http://eudml.org/doc/280436>.

@article{ArturPiękosz2013,
abstract = {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.},
author = {Artur Piękosz},
journal = {Annales Polonici Mathematici},
keywords = {generalized topological space; topological structure; bornological universe; sublattice},
language = {eng},
number = {2},
pages = {185-214},
title = {On generalized topological spaces II},
url = {http://eudml.org/doc/280436},
volume = {108},
year = {2013},
}

TY - JOUR
AU - Artur Piękosz
TI - On generalized topological spaces II
JO - Annales Polonici Mathematici
PY - 2013
VL - 108
IS - 2
SP - 185
EP - 214
AB - 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.
LA - eng
KW - generalized topological space; topological structure; bornological universe; sublattice
UR - http://eudml.org/doc/280436
ER -