Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/930963
- Title
- CAT(0) is an algorithmic property
- Author/Creator
-
Elder, Murray;
McCammond, Jon
- Description
- In this article we give an explicit algorithm which will determine, in a discrete and computable way, whether a finite piecewise Euclidean complex is nonpositively curved. In particular, given such a complex we show how to define a boolean combination of polynomial equations and inequalities in real variables, i.e. a real semi-algebraic set, which is empty if and only if the complex is nonpositively curved. Once this equivalence has been shown, the main result follows from a standard theorem in real algebraic geometry.
- Relation
- Geometriae Dedicata Vol. 107, Issue 1, p. 25-46
- Publisher Link
- http://dx.doi.org/10.1023/B:GEOM.0000049096.63639.e3
- Date
- 2004
- Publisher
- Springer
- Keyword(s)
-
non-positive curvature;
CAT(0);
decidability
- Resource Type
- journal article
- Rights
- The final publication is available at www.springerlink.com
- Identifier
- http://hdl.handle.net/1959.13/930963
- Identifier
- ISSN:0046-5755
- Language
- eng
- Reviewed
-
-
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