On α -embedded sets and extension of mappings

Olena Karlova

Commentationes Mathematicae Universitatis Carolinae (2013)

  • Volume: 54, Issue: 3, page 377-396
  • ISSN: 0010-2628

Abstract

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We introduce and study α -embedded sets and apply them to generalize the Kuratowski Extension Theorem.

How to cite

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Karlova, Olena. "On $\alpha $-embedded sets and extension of mappings." Commentationes Mathematicae Universitatis Carolinae 54.3 (2013): 377-396. <http://eudml.org/doc/260651>.

@article{Karlova2013,
abstract = {We introduce and study $\alpha $-embedded sets and apply them to generalize the Kuratowski Extension Theorem.},
author = {Karlova, Olena},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$\alpha $-embedded set; $\alpha $-separated set; extension; -embedded set; -separated set; extension},
language = {eng},
number = {3},
pages = {377-396},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On $\alpha $-embedded sets and extension of mappings},
url = {http://eudml.org/doc/260651},
volume = {54},
year = {2013},
}

TY - JOUR
AU - Karlova, Olena
TI - On $\alpha $-embedded sets and extension of mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2013
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 54
IS - 3
SP - 377
EP - 396
AB - We introduce and study $\alpha $-embedded sets and apply them to generalize the Kuratowski Extension Theorem.
LA - eng
KW - $\alpha $-embedded set; $\alpha $-separated set; extension; -embedded set; -separated set; extension
UR - http://eudml.org/doc/260651
ER -

References

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  1. Blair R., Filter characterization of z -, C * -, and C -embeddings, Fund. Math. 90 (1976), 285–300. MR0415564
  2. Blair R., Hager A., 10.1007/BF01189255, Math. Z. 136 (1974), 41–52. Zbl0264.54011MR0385793DOI10.1007/BF01189255
  3. Corson H., 10.2307/2372929, Amer. J. Math. 81 (1959), 785–796. Zbl0095.37302MR0107222DOI10.2307/2372929
  4. HASH(0x9f826e8), Encyclopedia of General Topology, edited by K.P. Hart, Jun-iti Nagata and J.E. Vaughan, Elsevier, 2004. MR2049453
  5. Engelking R., General Topology. Revised and completed edition, Heldermann Verlag, Berlin, 1989. MR1039321
  6. Gillman L., Jerison M., Rings of Continuous Functions, Van Nostrand, Princeton, 1960. Zbl0327.46040MR0116199
  7. Kalenda O., Spurný J., 10.1016/j.topol.2004.09.007, Topology Appl. 149 (2005), 195–216. Zbl1075.54011MR2130864DOI10.1016/j.topol.2004.09.007
  8. Karlova O., Baire classification of mappings which are continuous with respect to the first variable and of the α ’th functionally class with respect to the second variable, Mathematical Bulletin NTSH 2 (2005), 98–114 (in Ukrainian). 
  9. Karlova O., Classification of separately continuous functions with values in σ -metrizable spaces, Appl. Gen. Topol. 13 (2012), no. 2, 167–178. MR2998364
  10. Kombarov A., Malykhin V., On Σ -products, Dokl. Akad. Nauk SSSR 213 (1973), 774–776 (in Russian). MR0339073
  11. Kuratowski K., Topology, Vol. 1, Moscow, Mir, 1966 (in Russian). MR0259836
  12. Lukeš J., Malý J., Zajíček L., Fine Topology Methods in Real Analysis and Potential Theory, Springer, Berlin, 1986. Zbl0607.31001MR0861411
  13. Ohta H., Extension properties and the Niemytski plane, Appl. Gen. Topol. 1 (2000), no. 1, 45–60. MR1796931

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