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The t-invariant of analytic set germs of dimension 2

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Díaz-Cano Ocaña, Antonio (2001) The t-invariant of analytic set germs of dimension 2. Journal of Pure and Applied Algebra, 160 . pp. 157-168. ISSN 0022-4049

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Official URL: http://www.sciencedirect.com/science/article/pii/S002240490000089X


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Abstract

Let X-0 subset of R-n be an analytic set germ of dimension 2. We study the invariant t(X-0) defined as the least integer t such that any open semianalytic set germ of Xo can be written as a union of t basic open set germs. It is known that 2 less than or equal to t(X-0) less than or equal to 3. In this note we provide a geometric criterion to determine the exact value of t(X-0).


Item Type:Article
Uncontrolled Keywords:Real analytic set; Semianalytic set; germs; T-invariant; Stability index
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:15052
Deposited On:03 May 2012 09:43
Last Modified:18 Feb 2019 12:40

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