Elsevier

Topology

Volume 39, Issue 3, May 2000, Pages 495-523
Topology

Topology of real algebraic sets of dimension 4: necessary conditions

https://doi.org/10.1016/S0040-9383(99)00013-0Get rights and content
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Abstract

Operators on the ring of algebraically constructible functions are used to compute local obstructions for a four-dimensional semialgebraic set to be homeomorphic to a real algebraic set. The link operator and arithmetic operators yield 243−43 independent characteristic numbers mod 2, which generalize the Akbulut–King numbers in dimension three.

MSC

primary
14P25
secondary
14B05
14P10

Keywords

Real algebraic sets
Algebraically constructible functions
Links
Euler characteristics

Cited by (0)

Research supported by CNRS.

1

Supported also by NSF grant DMS-9628522.