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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The virtual Spivak fiber, duality on fibrations and Gorenstein spaces


Author: Aniceto Murillo
Journal: Trans. Amer. Math. Soc. 359 (2007), 3577-3587
MSC (2000): Primary 57P10, 55R05, 18G15
Published electronically: March 7, 2007
MathSciNet review: 2302507
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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.


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Additional Information

Aniceto Murillo
Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, AP. 59, 29080 Málaga, Spain
Email: aniceto@agt.cie.uma.es

DOI: http://dx.doi.org/10.1090/S0002-9947-07-04048-2
PII: S 0002-9947(07)04048-2
Keywords: Poincar\'e complex, Gorenstein space, virtual Spivak fiber
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.
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.