On bijectivity of the canonical transformation [ β G X ; Y ] G [ X ; Y ] G

Vojtěch Bartík; Martin Markl

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 4, page 682-700
  • ISSN: 0011-4642

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Bartík, Vojtěch, and Markl, Martin. "On bijectivity of the canonical transformation $[\beta _G X;Y]_G \rightarrow [X;Y]_G$." Czechoslovak Mathematical Journal 38.4 (1988): 682-700. <http://eudml.org/doc/13742>.

@article{Bartík1988,
author = {Bartík, Vojtěch, Markl, Martin},
journal = {Czechoslovak Mathematical Journal},
keywords = {Čech-Stone compactification; completely regular G-spaces; compact Lie group; G-homotopy classes of G-maps; Čech-Stone G-compactification},
language = {eng},
number = {4},
pages = {682-700},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On bijectivity of the canonical transformation $[\beta _G X;Y]_G \rightarrow [X;Y]_G$},
url = {http://eudml.org/doc/13742},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Bartík, Vojtěch
AU - Markl, Martin
TI - On bijectivity of the canonical transformation $[\beta _G X;Y]_G \rightarrow [X;Y]_G$
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 4
SP - 682
EP - 700
LA - eng
KW - Čech-Stone compactification; completely regular G-spaces; compact Lie group; G-homotopy classes of G-maps; Čech-Stone G-compactification
UR - http://eudml.org/doc/13742
ER -

References

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  2. Bartík V., 10.1093/qmath/29.1.77, Quart. J. Math. Oxford (2), 29 (1978), 77-91. (1978) MR0493853DOI10.1093/qmath/29.1.77
  3. Bartík V., On the bijectivity of the canonical transformation [ β G X ; Y ] G [ X ; Y ] G , Abstracts of 4th International Conference ,,Topology and its Applications", Dubrovnik, Sept. 30-Oct. 5 1985, Zagreb 1985. (1985) 
  4. Borel A., Seminar on transformation groups, Annals of Math. Studies 46, Princeton University Press, 1960. (1960) Zbl0091.37202MR0116341
  5. Bredon G. E., Introduction to compact transformation groups, New York, 1972. (1972) Zbl0246.57017MR0413144
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  10. Matumoto T., Equivariant K -theory and Fredholm operators, J. Fac. Sci. Univ. Tokyo, Sect. IA, 18(1971), 109-112. (1971) Zbl0213.25402MR0290354
  11. Matumoto T., On G - CW -complexes and a theorem of J.H.C. Whitehead, J. Fac. Sci. Univ. Tokyo, Sect. I, 18 (1971), 363-74. (1971) MR0345103
  12. May J. P., The homotopical foundations of algebraic topology, Mimeographed notes, University of Chicago. 
  13. Milnor J., On space having the homotopy type of a C W -complex, Trans. Amer. Math. Soc. 90 (1959), 272-280. (1959) MR0100267
  14. Morita K., Čech cohomology and covering dimension for topological spaces, Fund. Math. 87(1975), 31-52. (1975) Zbl0336.55003MR0362264
  15. Murayama M., On G - A N R ’s and their G -homotopy types, Osaka J. Math. 20 (1983), 479-512. (1983) Zbl0531.57034MR0718960
  16. Palais R. S., The classification of G -spaces, Memoirs of the Amer. Math. Soc., Number 36 (1960). (1960) Zbl0119.38403MR0177401
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  18. Waner S., Equivariant homotopy theory and Milnor's theorem, Trans. Amer. Math. Soc. 258(1980), 351-368. (1980) Zbl0444.55010MR0558178

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