| Title:
|
On bijectivity of the canonical transformation $[\beta_G X;Y]_G \to [X;Y]_G$ (English) |
| Author:
|
Bartík, Vojtěch |
| Author:
|
Markl, Martin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1988 |
| Pages:
|
682-700 |
| . |
| Category:
|
math |
| . |
| MSC:
|
55P65 |
| MSC:
|
55P91 |
| idZBL:
|
Zbl 0672.55006 |
| idMR:
|
MR962912 |
| DOI:
|
10.21136/CMJ.1988.102264 |
| . |
| Date available:
|
2008-06-09T15:24:11Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102264 |
| . |
| Reference:
|
[1] Bartík v.: General bridge-mapping theorem.Comment. Math. Univ. Carolinae 16, 4 (1975), 693-698 (Russian). MR 0391092 |
| Reference:
|
[2] Bartík V.: On the bijectivity of the canonical transformation $[\beta X;Y]\rightarrow [X;Y]$.Quart. J. Math. Oxford (2), 29 (1978), 77-91. MR 0493853, 10.1093/qmath/29.1.77 |
| Reference:
|
[3] Bartík V.: On the bijectivity of the canonical transformation $[\beta\sb{G} X;Y]\sb{G} \rightarrow [X;Y]\sb{G}$.Abstracts of 4th International Conference ,,Topology and its Applications", Dubrovnik, Sept. 30-Oct. 5 1985, Zagreb 1985. |
| Reference:
|
[4] Borel A.: Seminar on transformation groups.Annals of Math. Studies 46, Princeton University Press, 1960. Zbl 0091.37202, MR 0116341 |
| Reference:
|
[5] Bredon G. E.: Introduction to compact transformation groups.New York, 1972. Zbl 0246.57017, MR 0413144 |
| Reference:
|
[6] Colder A., Siegel J.: Homotopy and uniform homotopy.Trans. Amer. Math. Soc. 235 (1978), 245-270. MR 0458416, 10.1090/S0002-9947-1978-0458416-6 |
| Reference:
|
[7] Calder A., Siegel J.: Homotopy and uniform homotopy II.Proc. Amer. Math. Soc. 78 (1980), 288-290. Zbl 0452.55007, MR 0550515, 10.1090/S0002-9939-1980-0550515-8 |
| Reference:
|
[8] Dold A.: Lectures on Algebraic Topology.Springer-Verlag 1972. Zbl 0234.55001, MR 0415602 |
| Reference:
|
[9] Markl M.: On the $G$-spaces having an ${\cal S}-G-{\rm CW}$-approximation by a $G-{\rm CW}$-complex of finite $G$-type.Comment. Math. Univ. Carolinae 24, 3 (1983). MR 0730149 |
| Reference:
|
[10] Matumoto T.: Equivariant $K$-theory and Fredholm operators.J. Fac. Sci. Univ. Tokyo, Sect. IA, 18(1971), 109-112. Zbl 0213.25402, MR 0290354 |
| Reference:
|
[11] Matumoto T.: On $G$-${\rm CW}$-complexes and a theorem of J.H.C. Whitehead.J. Fac. Sci. Univ. Tokyo, Sect. I, 18 (1971), 363-74. MR 0345103 |
| Reference:
|
[12] May J. P.: The homotopical foundations of algebraic topology.Mimeographed notes, University of Chicago. |
| Reference:
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[13] Milnor J.: On space having the homotopy type of a $CW$-complex.Trans. Amer. Math. Soc. 90 (1959), 272-280. MR 0100267 |
| Reference:
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[14] Morita K.: Čech cohomology and covering dimension for topological spaces.Fund. Math. 87(1975), 31-52. Zbl 0336.55003, MR 0362264, 10.4064/fm-87-1-31-52 |
| Reference:
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[15] Murayama M.: On $G$-$ANR$'s and their $G$-homotopy types.Osaka J. Math. 20 (1983), 479-512. Zbl 0531.57034, MR 0718960 |
| Reference:
|
[16] Palais R. S.: The classification of $G$-spaces.Memoirs of the Amer. Math. Soc., Number 36 (1960). Zbl 0119.38403, MR 0177401 |
| Reference:
|
[17] Spanier E. H.: Algebraic Topology.Springer-Verlag. Zbl 0810.55001, MR 0666554 |
| Reference:
|
[18] Waner S.: Equivariant homotopy theory and Milnor's theorem.Trans. Amer. Math. Soc. 258(1980), 351-368. Zbl 0444.55010, MR 0558178 |
| . |
