Euler characteristic

Known as: Euler-Poincare characteristic, Euler's characteristic, Euler's polyhedron formula 
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincar… (More)
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2010
2010
1. The principal object of this note is to give an extremely simple axiomatic characterization of the Euler characteristic for… (More)
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2009
2009
We solve the problem of counting the total number of observable targets (e.g., persons, vehicles, landmarks) in a region using… (More)
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2009
2009
This paper describes the determination of all orientably-regular maps and hypermaps of genus 2 to 101, and all non-orientable… (More)
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2008
2008
The Euler characteristic of a finite category is defined and shown to be compatible with Euler characteristics of other types of… (More)
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2006
2006
I will describe a few basic properties of the Euler characteristic and then I use them to prove special case of a cute formula… (More)
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Highly Cited
2005
Highly Cited
2005
Let Fg 1, g> 1, be the mapping class group consisting of all isotopy classes of base-point and orientation preserving… (More)
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2003
2003
We study the accuracy of the expected Euler characteristic approximation to the distribution of the maximum of a smooth, centered… (More)
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2003
2003
To every elliptic Calabi–Yau threefold with a section X there can be associated a Lie group G and a representation ρ of that… (More)
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Highly Cited
2001
Highly Cited
2001
We are interested in the geometric properties of real-valued Gaussian random fields defined on manifolds. Our manifolds, M , are… (More)
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Highly Cited
1994
Highly Cited
1994
The maximum of a Gaussian random field was used by Worsley et al. (1992) to test for activation at an unknown point in positron… (More)
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