Effective homotopy of fibrations
- Romero, A. 1
- Sergeraert, F. 2
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1
Universidad de La Rioja
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2
Joseph Fourier University
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ISSN: 0938-1279
Año de publicación: 2012
Volumen: 23
Número: 1-2
Páginas: 85-100
Tipo: Artículo
beta Ver similares en nube de resultadosOtras publicaciones en: Applicable Algebra in Engineering, Communications and Computing
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Resumen
The well-known effective homology method provides algorithms computing homology groups of spaces. The main idea consists in keeping systematically a deep and subtle connection between the homology of any object and the object itself. Nowapplying similar ideas to the computation of homotopy groups,we aim to develop a new effective homotopy theory which allows one to determine homotopy groups of spaces. In this work we introduce the notion of a solution for the homotopical problem of a simplicial set, which will be the main definition of our theory, and present an algorithm computing the effective homotopy of a fibration. We also illustrate with examples some applications of our results. © Springer-Verlag 2012.