On the classification of oriented vector bundles over 5-complexes

Martin Čadek; Jiří Vanžura

Czechoslovak Mathematical Journal (1993)

  • Volume: 43, Issue: 4, page 753-764
  • ISSN: 0011-4642

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Čadek, Martin, and Vanžura, Jiří. "On the classification of oriented vector bundles over 5-complexes." Czechoslovak Mathematical Journal 43.4 (1993): 753-764. <http://eudml.org/doc/31374>.

@article{Čadek1993,
author = {Čadek, Martin, Vanžura, Jiří},
journal = {Czechoslovak Mathematical Journal},
keywords = {vector bundle; CW-complex; characteristic classes},
language = {eng},
number = {4},
pages = {753-764},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the classification of oriented vector bundles over 5-complexes},
url = {http://eudml.org/doc/31374},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Čadek, Martin
AU - Vanžura, Jiří
TI - On the classification of oriented vector bundles over 5-complexes
JO - Czechoslovak Mathematical Journal
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 4
SP - 753
EP - 764
LA - eng
KW - vector bundle; CW-complex; characteristic classes
UR - http://eudml.org/doc/31374
ER -

References

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  1. On oriented vector bundles over CW-complex of dimension 6 and 7, preprint (1991). (1991) MR1240195
  2. 10.2307/1970030, Ann. of Math. 69 (1959), 667–677. (1959) MR0123331DOI10.2307/1970030
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  4. 10.2307/1970255, Ann. of Math. 68 (1958), 444–449. (1958) Zbl0085.17301MR0102805DOI10.2307/1970255
  5. Cohomology operations and applications in homotopy theory, Harper & Row, Publishers, New York, Evanston and London, 1968. (1968) MR0226634
  6. On the geometric dimension of vector bundles, span of a manifold and immersion of manifolds in manifolds, Exposition. Math. 8 (1990), 193–226. (1990) MR1062767
  7. On the cohomology of the real Grassmann complexes, Trans. Amer. Math. Soc. 96 (1960), 67–89. (1960) Zbl0098.36301MR0121800
  8. 10.1090/S0002-9947-1964-0160212-4, Trans. Amer. Math. Soc. 111 (1964), 138–151. (1964) Zbl0119.18401MR0160212DOI10.1090/S0002-9947-1964-0160212-4
  9. Seminar on fibre bundles, Lecture Notes in Math., no. 13, Springer, Berlin-Heidelberg-New York, 1966. (1966) MR0203733
  10. 10.2307/1970439, Ann. of Math. 85 (1967), 184–217. (1967) MR0210135DOI10.2307/1970439
  11. 10.1007/BF01402957, Invent. Math. 3 (1967), 334–347. (1967) Zbl0162.55402MR0217814DOI10.1007/BF01402957
  12. 10.1007/BF01110620, Math. Z. 103 (1968), 85–93. (1968) Zbl0162.55403MR0224109DOI10.1007/BF01110620
  13. The classification of orientable vector bundles over CW-complexes of small dimension, Proc. Roy. Soc. Edinburgh 92A (1982), 175–179. (1982) Zbl0505.55017MR0677482

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