Structure resolvability

Rolando Jimenez; Viacheslav I. Malykhin

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 2, page 379-387
  • ISSN: 0010-2628

Abstract

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We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability.

How to cite

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Jimenez, Rolando, and Malykhin, Viacheslav I.. "Structure resolvability." Commentationes Mathematicae Universitatis Carolinae 39.2 (1998): 379-387. <http://eudml.org/doc/248243>.

@article{Jimenez1998,
abstract = {We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability.},
author = {Jimenez, Rolando, Malykhin, Viacheslav I.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {resolvability; irresolvability; structure resolvability; Borel resolvability; resolvable space; Borel resolvability},
language = {eng},
number = {2},
pages = {379-387},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Structure resolvability},
url = {http://eudml.org/doc/248243},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Jimenez, Rolando
AU - Malykhin, Viacheslav I.
TI - Structure resolvability
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 2
SP - 379
EP - 387
AB - We introduce the general notion of structure resolvability and structure irresolvability, generalizing the usual concepts of resolvability and irresolvability.
LA - eng
KW - resolvability; irresolvability; structure resolvability; Borel resolvability; resolvable space; Borel resolvability
UR - http://eudml.org/doc/248243
ER -

References

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  3. Illanes A., Finite and ø m e g a -resolvability, Proc. Amer. Math. Soc. (1996), 124 1243-1246. (1996) Zbl0856.54010MR1327020
  4. Comfort W.W., Garcia-Ferreira S., Resolvability: a selective survey and some new results, Topology Appl. (1996), 74 149-167. (1996) Zbl0866.54004MR1425934
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  6. Malykhin V.I., Maximal resolvability of bounded groups, to appear in Russian in Mat. Zametki. Zbl0866.54032
  7. Kuratowski K., General Topology, Academic Press, New York (1966). (1966) MR0217751
  8. Malykhin V.I., Extremally disconnected and nearly extremally disconnected groups, Soviet Math. Dokl. 16 (1975), 21-25. (1975) 
  9. Katětov M., On topological spaces containing no disjoint dense sets, Mat. Sb. 21 (63) (1947), 3-12. (1947) MR0021679
  10. Ceder J., On maximally Borel resolvable spaces, Revue Roumaine de Mathematiques Pures and Appl. 11 (1966), 89-94. (1966) Zbl0158.41501MR0206900
  11. Comfort W.W., Li Feng, The union of resolvable spaces is resolvable, Math. Japonica 38 (1993), 413-414. (1993) Zbl0769.54002MR1221007
  12. Efimov B.A., Dyadic compacta (in Russian), Trudy Moscow Math. Soc. 14 (1965), 211-247. (1965) MR0202105

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