An isomorphical classification of function spaces of zero-dimensional locally compact separable metric spaces

Jan Baars; Joost de Groot

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 3, page 577-595
  • ISSN: 0010-2628

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Baars, Jan, and de Groot, Joost. "An isomorphical classification of function spaces of zero-dimensional locally compact separable metric spaces." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 577-595. <http://eudml.org/doc/17670>.

@article{Baars1988,
author = {Baars, Jan, de Groot, Joost},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {linearly homeomorphic; 0-dimensional locally compact separable metric spaces},
language = {eng},
number = {3},
pages = {577-595},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An isomorphical classification of function spaces of zero-dimensional locally compact separable metric spaces},
url = {http://eudml.org/doc/17670},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Baars, Jan
AU - de Groot, Joost
TI - An isomorphical classification of function spaces of zero-dimensional locally compact separable metric spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 577
EP - 595
LA - eng
KW - linearly homeomorphic; 0-dimensional locally compact separable metric spaces
UR - http://eudml.org/doc/17670
ER -

References

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  1. A. V. Arhangelskii, On linear homeomorphisms of function spaces, Soviet Math. Dokl. 25 (1982) 852-855. (1982) 
  2. C. Bessaga A. Pelczyński, Spaces of continuous functions IV (on somorphical classification of spaces of continuous functions), Studia Math. 19 (1960) 53-62. (1960) MR0113132
  3. R. Engelking, On closed images of the space of irrationals, Pгoc. Ameг. Math. Soc. 21 (1969) 583-586. (1969) Zbl0177.25501MR0239571
  4. K. Kuratowski A. Mostowski, Set theory, North-Holland Publicing Company, 1976. (1976) MR0485384
  5. V. G. Pestov, The coincidence of tћe dimension dim of l-equivalent topological spaces, Soviet Math. Dokl. 26 (1982) 380-383. (1982) 
  6. Z. Semadeni, Banach spaces of continuous functions, PWN Warszawa, 1971. (1971) Zbl0225.46030
  7. W. Sierpiński, Cardinal and ordinal numbers, PWN Warszawa, 1958. (1958) MR0095787

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