Clone properties of topological spaces

Věra Trnková

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 4, page 427-440
  • ISSN: 0044-8753

Abstract

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Clone properties are the properties expressible by the first order sentence of the clone language. The present paper is a contribution to the field of problems asking when distinct sentences of the language determine distinct topological properties. We fully clarify the relations among the rigidity, the fix-point property, the image-determining property and the coconnectedness.

How to cite

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Trnková, Věra. "Clone properties of topological spaces." Archivum Mathematicum 042.4 (2006): 427-440. <http://eudml.org/doc/249796>.

@article{Trnková2006,
abstract = {Clone properties are the properties expressible by the first order sentence of the clone language. The present paper is a contribution to the field of problems asking when distinct sentences of the language determine distinct topological properties. We fully clarify the relations among the rigidity, the fix-point property, the image-determining property and the coconnectedness.},
author = {Trnková, Věra},
journal = {Archivum Mathematicum},
keywords = {finite products; clone; first order language; rigidity; fix-point property; image-determining property; coconnectedness; finite products; clone; first order language; rigidity},
language = {eng},
number = {4},
pages = {427-440},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Clone properties of topological spaces},
url = {http://eudml.org/doc/249796},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Trnková, Věra
TI - Clone properties of topological spaces
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 4
SP - 427
EP - 440
AB - Clone properties are the properties expressible by the first order sentence of the clone language. The present paper is a contribution to the field of problems asking when distinct sentences of the language determine distinct topological properties. We fully clarify the relations among the rigidity, the fix-point property, the image-determining property and the coconnectedness.
LA - eng
KW - finite products; clone; first order language; rigidity; fix-point property; image-determining property; coconnectedness; finite products; clone; first order language; rigidity
UR - http://eudml.org/doc/249796
ER -

References

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