| Title:
|
On the classification of oriented vector bundles over 5-complexes (English) |
| Author:
|
Čadek, Martin |
| Author:
|
Vanžura, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
43 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
753-764 |
| . |
| Category:
|
math |
| . |
| MSC:
|
55R25 |
| idZBL:
|
Zbl 0883.55014 |
| idMR:
|
MR1258434 |
| DOI:
|
10.21136/CMJ.1993.128427 |
| . |
| Date available:
|
2009-09-24T09:35:15Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128427 |
| . |
| Reference:
|
[1] M. Čadek, J. Vanžura: On oriented vector bundles over CW-complex of dimension 6 and 7.preprint (1991). MR 1240195 |
| Reference:
|
[2] A. Dold, H. Whitney: Classification of oriented sphere bundles over a 4-complex.Ann. of Math. 69 (1959), 667–677. MR 0123331, 10.2307/1970030 |
| Reference:
|
[3] I. James, E. Thomas: An approach to the enumeration problem for non-stable vector bundles.J. Math. Mech. 14 (1965), 485–506. MR 0175134 |
| Reference:
|
[4] J. Milnor: Some consequences of a theorem of Bott.Ann. of Math. 68 (1958), 444–449. Zbl 0085.17301, MR 0102805, 10.2307/1970255 |
| Reference:
|
[5] R. E. Mosher, M. C. Tangora: Cohomology operations and applications in homotopy theory.Harper & Row, Publishers, New York, Evanston and London, 1968. MR 0226634 |
| Reference:
|
[6] Tze–Beng Ng: On the geometric dimension of vector bundles, span of a manifold and immersion of manifolds in manifolds.Exposition. Math. 8 (1990), 193–226. MR 1062767 |
| Reference:
|
[7] E. Thomas: On the cohomology of the real Grassmann complexes.Trans. Amer. Math. Soc. 96 (1960), 67–89. Zbl 0098.36301, MR 0121800 |
| Reference:
|
[8] E. Thomas: Homotopy classification of maps by cohomology homomorphisms.Trans. Amer. Math. Soc. 111 (1964), 138–151. Zbl 0119.18401, MR 0160212, 10.1090/S0002-9947-1964-0160212-4 |
| Reference:
|
[9] E. Thomas: Seminar on fibre bundles.Lecture Notes in Math., no. 13, Springer, Berlin-Heidelberg-New York, 1966. MR 0203733 |
| Reference:
|
[10] E. Thomas: Postnikov invariants and higher order cohomology operation.Ann. of Math. 85 (1967), 184–217. MR 0210135, 10.2307/1970439 |
| Reference:
|
[11] E. Thomas: Fields of tangent $k$-planes on manifolds.Invent. Math. 3 (1967), 334–347. Zbl 0162.55402, MR 0217814, 10.1007/BF01402957 |
| Reference:
|
[12] E. Thomas: Vector fields on low dimensional manifolds.Math. Z. 103 (1968), 85–93. Zbl 0162.55403, MR 0224109, 10.1007/BF01110620 |
| Reference:
|
[13] L. M. Woodward: The classification of orientable vector bundles over CW-complexes of small dimension.Proc. Roy. Soc. Edinburgh 92A (1982), 175–179. Zbl 0505.55017, MR 0677482 |
| . |
