On the Čech and axiomatic cohomology of product spaces

Vojtěch Bartík

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 3, page 439-474
  • ISSN: 0011-4642

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Bartík, Vojtěch. "On the Čech and axiomatic cohomology of product spaces." Czechoslovak Mathematical Journal 34.3 (1984): 439-474. <http://eudml.org/doc/13469>.

@article{Bartík1984,
author = {Bartík, Vojtěch},
journal = {Czechoslovak Mathematical Journal},
keywords = {Künneth theorems for Čech cohomology},
language = {eng},
number = {3},
pages = {439-474},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Čech and axiomatic cohomology of product spaces},
url = {http://eudml.org/doc/13469},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Bartík, Vojtěch
TI - On the Čech and axiomatic cohomology of product spaces
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 3
SP - 439
EP - 474
LA - eng
KW - Künneth theorems for Čech cohomology
UR - http://eudml.org/doc/13469
ER -

References

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  1. Bartík V., Alexandroff-Čech cohomology and mappings into Eilenberg-McLane polyhedra, (in Russian), Mat. Sbornik, N. S., 76 (118) : 2 (1968), 231-238. (1968) MR0233344
  2. Bartík V., General bridge mapping theorem, (in Russian), CMUC 16, 4 (1975), 693 - 698. (1975) MR0391092
  3. Bartík V., Bridge mapping theorem and normal Čech cohomology, spectral sequences in axiomatic cohomology theories, uniqueness theorems, and the normal Čech cohomology and Čech cohomology of product spaces, (in Czech), Thesis, Matematický ústav ČSAV, Praha 1976. (1976) 
  4. Bartík V., Normal Čech cohomology, (in Russian), Trudy Tbiliskogo matem. inst. LIX, Sbornik rabot po topologii II, Tbilisi, 1978. (1978) 
  5. Bredon G. E., 10.2307/2373542, Amer. J. Math., 90 (2) (1968), 522-527. (1968) MR0227976DOI10.2307/2373542
  6. Dold A., Halbexakte Homotopiefunktoren, Lecture Notes in Mathematics, No. 12, 1966. (1966) Zbl0136.00801MR0198464
  7. Dold A., Lectures in Algebraic Topology, Springer-Verlag, 1972. (1972) MR0415602
  8. Eilenberg S., Steenrod N., Foundations of Algebraic Topology, Princeton, 1952. (1952) Zbl0047.41402MR0050886
  9. Hilton P. J., Stammbach U., A Course in Homological Algebra, Springer-Verlag, 1970. (1970) MR1438546
  10. Hoshina T., Morita K., C-embeddings and the homotopy extension property, General Topology and its Applications, 5 (1975), 69-81. (1975) MR0365466
  11. Lamotke K., Semisimpiiziale algebraische Topologie, Springer-Verlag, 1968. (1968) MR0245005
  12. May P., Simplicial Objects in Algebraic Topology, D. van Nostrand Company, Inc., 1967. (1967) MR0222892
  13. Milnor J., 10.2307/1969967, Annals of Math., (2) 65 (1957), 357-362. (1957) Zbl0078.36602MR0084138DOI10.2307/1969967
  14. Milnor J., On spaces having the homotopy type of a CW-complex, Trans. Amer. Math. Soc, 90 (1959), 272-280. (1959) MR0100267
  15. Morita K., Čech cohomology and covering dimension for topological spaces, Fund. Math. 87 (1975), 31-52. (1975) Zbl0336.55003MR0362264
  16. Morita K., On generalizations of Borsuk's homotopy extension theorem, Fund. Math., 88 (1975), 1-6. (1975) Zbl0304.55009MR0375220
  17. O'Neil R. C, 10.2307/2373225, Amer. J. Math., 87 (1965), 71-78. (1965) MR0179786DOI10.2307/2373225
  18. Skljarenko E. G., The theorem on mappings lowering dimension, (in Russian), Bulletin de l'Académie Polonaise des Sciences, Serie des sciences math., astr. et phys., 10 (1962), 429-432. (1962) MR0149445
  19. Spanier E. H., Algebraic Topology, Springer-Verlag, 1981. (1981) MR0666554

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