volume 30, issue 1, P65-85 2003
DOI: 10.1007/s00454-003-2922-9
View full text
|
|
Share

Abstract: A classic result in real algebraic geometry due to Oleinik-Petrovskii, Thom and Milnor, bounds the topological complexity (the sum of the Betti numbers) of basic semi-algebraic sets. This bound is tight as one can construct examples having that many connected components. However, till now no significantly better bounds were known on the individual higher Betti numbers.We prove better bounds on the individual Betti numbers of basic semi-algebraic sets, as well as arrangements of algebraic hypersurfaces. As a c…

Expand abstract

Search citation statements

Order By: Relevance

Paper Sections

0
0
0
0
0

Citation Types

0
10
0

Publication Types

Select...

Relationship

0
0

Authors

Journals