# On 2-distributions in 8-dimensional vector bundles over 8-complexes

Colloquium Mathematicae (1996)

- Volume: 70, Issue: 1, page 25-40
- ISSN: 0010-1354

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topČadek, Martin, and Vanžura, Jiří. "On 2-distributions in 8-dimensional vector bundles over 8-complexes." Colloquium Mathematicae 70.1 (1996): 25-40. <http://eudml.org/doc/210394>.

@article{Čadek1996,

abstract = {It is shown that the $ℤ_2$-index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.},

author = {Čadek, Martin, Vanžura, Jiří},

journal = {Colloquium Mathematicae},

keywords = {secondary cohomology operation; classifying spaces for groups; vector bundle; characteristic classes; Postnikov tower; distribution},

language = {eng},

number = {1},

pages = {25-40},

title = {On 2-distributions in 8-dimensional vector bundles over 8-complexes},

url = {http://eudml.org/doc/210394},

volume = {70},

year = {1996},

}

TY - JOUR

AU - Čadek, Martin

AU - Vanžura, Jiří

TI - On 2-distributions in 8-dimensional vector bundles over 8-complexes

JO - Colloquium Mathematicae

PY - 1996

VL - 70

IS - 1

SP - 25

EP - 40

AB - It is shown that the $ℤ_2$-index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.

LA - eng

KW - secondary cohomology operation; classifying spaces for groups; vector bundle; characteristic classes; Postnikov tower; distribution

UR - http://eudml.org/doc/210394

ER -

## References

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