The virtual Spivak fiber, duality on fibrations and Gorenstein spaces
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Abstract:
In this paper we study a generalization of the homology of the Spivak fiber of a $1$-connected space over any field and deduce consequences concerning Poincaré complexes, Gorenstein spaces and finiteness properties on fibrations.References
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Additional Information
- Aniceto Murillo
- Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, AP. 59, 29080 Málaga, Spain
- MR Author ID: 294447
- ORCID: 0000-0002-2681-274X
- Email: aniceto@agt.cie.uma.es
- Received by editor(s): February 25, 2005
- Published electronically: March 7, 2007
- Additional Notes: The author was partially supported by the research grant MTM2004-06262 from the Ministerio de Educación y Ciencia and by the European Network HPRN-CT-1999-00119.
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 3577-3587
- MSC (2000): Primary 57P10, 55R05, 18G15
- DOI: https://doi.org/10.1090/S0002-9947-07-04048-2
- MathSciNet review: 2302507