On the G-spaces having an 𝒮 -G-CW-approximation by a G-CW-complex of finite G-type

Martin Markl

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 3, page 541-551
  • ISSN: 0010-2628

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Markl, Martin. "On the G-spaces having an ${\mathcal {S}}$-G-CW-approximation by a G-CW-complex of finite G-type." Commentationes Mathematicae Universitatis Carolinae 024.3 (1983): 541-551. <http://eudml.org/doc/17275>.

@article{Markl1983,
author = {Markl, Martin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {equivariant CW-approximations; compact Lie group actions; G-isotropy types},
language = {eng},
number = {3},
pages = {541-551},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the G-spaces having an $\{\mathcal \{S\}\}$-G-CW-approximation by a G-CW-complex of finite G-type},
url = {http://eudml.org/doc/17275},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Markl, Martin
TI - On the G-spaces having an ${\mathcal {S}}$-G-CW-approximation by a G-CW-complex of finite G-type
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 3
SP - 541
EP - 551
LA - eng
KW - equivariant CW-approximations; compact Lie group actions; G-isotropy types
UR - http://eudml.org/doc/17275
ER -

References

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  1. ARAKI S., MURAYAMA I., G-homotopy Types of G-CW-complexes and Representation of G-Cohomology Theories, Publ. RIMS, Kyoto Univ., 14 (1978 ), 203 - 222. (1978) MR0494070
  2. BOREL A., Seminar on Transformation Groups, Princeton University Press, New Jersey 1960. (1960) Zbl0091.37202MR0116341
  3. BREDON G. E., Equivariant Cohonology Theories, Lecture Notes in Mathematics, 34, Springer - Verlag 1967. (1967) MR0214062
  4. BREDON G. E., Introduction to Compact Transformation Groups, Academic Press, New York - London 1972. (1972) Zbl0246.57017MR0413144
  5. HALL M., The Theory of Groups, MacMillan comp., Mew York 1959. (1959) Zbl0084.02202MR0103215
  6. KIRBY R. C., SIEBENMANN L. C., On the Triangulation of Manifolds and the Hauptvermutung, Bull. of the AMS, 75 ( 1969 ), 742 - 749. (1969) Zbl0189.54701MR0242166
  7. MATUMOTO T., On G-CW-complexes and the Theorem of J. H. C. Whitehead, J. Fac. Sci. Univ. Tokyo, Sect. I, 18 ( 1971 ), 363 - 374. (1971) MR0345103
  8. MURAYAMA M., On G-ANR's and their G-homotopy Types, preprint 1982. (1982) MR0718960
  9. MURAYAMA M., On the G-homotopy Types of G-ANR's, Publ. RIMS, Kyoto Univ. 18 (1982), 183 - 189. (1982) Zbl0517.57018MR0660826
  10. POSTNIKOV M. M., Vvěděnije v Těoriju Moraa, ( Russian ), Nauka, Moskva 1971. (1971) 
  11. SPANIER E. H., Algebraic Topology, McGraw - Hill, 1966. (1966) Zbl0145.43303MR0210112
  12. WHITEHEAD G. W., Elements of Homotopy Theory, Springer-Verlag, New York Inc. 1978. (1978) Zbl0406.55001MR0516508

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