| Title:
|
On the topological structure of compact 5-manifolds (English) |
| Author:
|
Cavicchioli, Alberto |
| Author:
|
Spaggiari, Fulvia |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
513-524 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let $M$ be a closed connected orientable smooth $5$-manifold with free fundamental group. Then we prove that the number of distinct smooth $5$-manifolds homotopy equivalent to $M$ equals the $2$-nd Betti number (mod $2$) of $M$. (English) |
| Keyword:
|
colored graph |
| Keyword:
|
crystallization |
| Keyword:
|
genus |
| Keyword:
|
manifold |
| Keyword:
|
surgery |
| Keyword:
|
s-cobordism |
| Keyword:
|
normal invariants |
| Keyword:
|
homotopy type |
| MSC:
|
57N15 |
| MSC:
|
57N65 |
| MSC:
|
57Q25 |
| MSC:
|
57R67 |
| idZBL:
|
Zbl 0784.57009 |
| idMR:
|
MR1243082 |
| . |
| Date available:
|
2009-01-08T18:05:43Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118607 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| . |
