# Topological manifolds and real algebraic geometry

Bollettino dell'Unione Matematica Italiana (2003)

- Volume: 6-B, Issue: 3, page 545-555
- ISSN: 0392-4041

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topTognoli, Alberto. "Topological manifolds and real algebraic geometry." Bollettino dell'Unione Matematica Italiana 6-B.3 (2003): 545-555. <http://eudml.org/doc/194830>.

@article{Tognoli2003,

abstract = {We study the problem of approximating, up to homotopy, compact topological manifolds by real algebraic varieties. As a consequence, we realize any integral non-degenerate quadratic form as the intersection form of a real algebraic variety. This is related to a well-known result, due to Freedman [F], on the topology of closed simply-connected topological $4$-manifolds.},

author = {Tognoli, Alberto},

journal = {Bollettino dell'Unione Matematica Italiana},

language = {eng},

month = {10},

number = {3},

pages = {545-555},

publisher = {Unione Matematica Italiana},

title = {Topological manifolds and real algebraic geometry},

url = {http://eudml.org/doc/194830},

volume = {6-B},

year = {2003},

}

TY - JOUR

AU - Tognoli, Alberto

TI - Topological manifolds and real algebraic geometry

JO - Bollettino dell'Unione Matematica Italiana

DA - 2003/10//

PB - Unione Matematica Italiana

VL - 6-B

IS - 3

SP - 545

EP - 555

AB - We study the problem of approximating, up to homotopy, compact topological manifolds by real algebraic varieties. As a consequence, we realize any integral non-degenerate quadratic form as the intersection form of a real algebraic variety. This is related to a well-known result, due to Freedman [F], on the topology of closed simply-connected topological $4$-manifolds.

LA - eng

UR - http://eudml.org/doc/194830

ER -

## References

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