Publication detail

Countable actions of hyperstructures and pseudo-metrizable uniform spaces.

CHVALINA, J. HOŠKOVÁ, Š.

Original Title

Countable actions of hyperstructures and pseudo-metrizable uniform spaces.

English Title

Countable actions of hyperstructures and pseudo-metrizable uniform spaces.

Type

conference paper

Language

en

Original Abstract

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 omega- hyperstructures. This construction is then applied to pseudo-metrizable uniform spaces; in particular there is proved that isomorphism of certain general omega-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.

English abstract

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 omega- hyperstructures. This construction is then applied to pseudo-metrizable uniform spaces; in particular there is proved that isomorphism of certain general omega-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.

Keywords

General hyperoperation, countable sequence of tolerances, general omega-hyperstructure, ordered set, pseudo-metrizable uniform space.

RIV year

2011

Released

02.02.2011

Publisher

STU

Location

Bratislava

ISBN

978-80-89313-51-8

Book

Proc. of the 10-th International Conference APLIMAT,

Pages from

103

Pages to

111

Pages count

9

Documents

BibTex


@inproceedings{BUT75905,
  author="Jan {Chvalina} and Šárka {Hošková}",
  title="Countable actions of hyperstructures and pseudo-metrizable uniform spaces.",
  annote="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 omega- hyperstructures. This construction is then applied to pseudo-metrizable uniform spaces; in particular there is proved that isomorphism of certain general omega-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.",
  address="STU",
  booktitle="Proc. of the 10-th International Conference APLIMAT,",
  chapter="75905",
  howpublished="online",
  institution="STU",
  year="2011",
  month="february",
  pages="103--111",
  publisher="STU",
  type="conference paper"
}