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@inproceedings{972586,
author = {Chvalina, Jan and Hošková, Šárka},
address = {Bratislava},
booktitle = {10-th International Conference APLIMAT},
edition = {první},
editor = {Kováčová Monika},
keywords = {General hyperoperation; countable sequence of tolerances; general hyperstructure; ordered set; pseudo-metrizable uniform space},
language = {eng},
location = {Bratislava},
isbn = {978-80-89313-51-8},
pages = {103-111},
publisher = {STU Bratislava},
title = {Countable actions of hyperstructures and pseudo-metrizable uniform spaces.},
year = {2011}
}
TY - JOUR
ID - 972586
AU - Chvalina, Jan - Hošková, Šárka
PY - 2011
TI - Countable actions of hyperstructures and pseudo-metrizable uniform spaces.
PB - STU Bratislava
CY - Bratislava
SN - 9788089313518
KW - General hyperoperation
KW - countable sequence of tolerances
KW - general hyperstructure
KW - ordered set
KW - pseudo-metrizable uniform space
N2 - There is generalized concept of a general hyperstructure (A. D. Nezhad, R. S. Hashemi) onto the case of countable many basic sets (spaces) called general hyperstructures. This construction is then applied to pseudo-metrizable uniform spaces; in particular there is proved that isomorphism of certain general hyper-structures of tolerance spaces with the same carrier set implies uniform equivalence of pseudo-uniform spaces induced by countable families of tolerances forming bases of uniformities.
ER -
CHVALINA, Jan and Šárka HOŠKOVÁ. Countable actions of hyperstructures and pseudo-metrizable uniform spaces. In Kováčová Monika. \textit{10-th International Conference APLIMAT}. první. Bratislava: STU Bratislava, 2011, p.~103-111. ISBN~978-80-89313-51-8.
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