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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  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
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  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., 10.4064/fm-87-1-31-52, Fund. Math. 87(1975), 31-52. (1975) Zbl0336.55003MR0362264DOI10.4064/fm-87-1-31-52
  15. Murayama M., On G - A N R ’s and their G -homotopy types, Osaka J. Math. 20 (1983), 479-512. (1983) Zbl0531.57034MR0718960
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