On extension of functors

L. Karchevska; Taras Radul

Commentationes Mathematicae Universitatis Carolinae (2012)

  • Volume: 53, Issue: 2, page 269-279
  • ISSN: 0010-2628

Abstract

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A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.

How to cite

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Karchevska, L., and Radul, Taras. "On extension of functors." Commentationes Mathematicae Universitatis Carolinae 53.2 (2012): 269-279. <http://eudml.org/doc/246388>.

@article{Karchevska2012,
abstract = {A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.},
author = {Karchevska, L., Radul, Taras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Chigogidze extension of functors; 1-preimage preserving property; Chigogidze extension of functors; 1-preimage preserving property},
language = {eng},
number = {2},
pages = {269-279},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On extension of functors},
url = {http://eudml.org/doc/246388},
volume = {53},
year = {2012},
}

TY - JOUR
AU - Karchevska, L.
AU - Radul, Taras
TI - On extension of functors
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 2
SP - 269
EP - 279
AB - A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.
LA - eng
KW - Chigogidze extension of functors; 1-preimage preserving property; Chigogidze extension of functors; 1-preimage preserving property
UR - http://eudml.org/doc/246388
ER -

References

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  12. Radul T., 10.1023/A:1012052928198, Appl. Categ. Structures 9 (2001), 457–463. MR1865611DOI10.1023/A:1012052928198
  13. Teleiko A., Zarichnyi M., Categorical Topology of Compact Hausdorff Spaces, VNTL Publishers, Lviv, 1999. Zbl1032.54004MR1783651
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