Compact fiberings of homogeneous spaces. I
Reinhard Schultz (1981)
Compositio Mathematica
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Reinhard Schultz (1981)
Compositio Mathematica
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Stefano De Michelis (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study the homology of the fixed point set on a rational homology sphere under the action of a finite group.
A. T. Huckleberry, D. Snow (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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W. Jakobsche (1991)
Fundamenta Mathematicae
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Juan J. Nuño Ballesteros (1994)
Compositio Mathematica
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Bohr, Christian (2002)
Algebraic & Geometric Topology
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Hajime Sato (1972)
Annales de l'institut Fourier
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We aim at constructing a PL-manifold which is cellularly equivalent to a given homology manifold . The main theorem says that there is a unique obstruction element in , where is the group of 3-dimensional PL-homology spheres modulo those which are the boundary of an acyclic PL-manifold. If the obstruction is zero and is compact, we obtain a PL-manifold which is simple homotopy equivalent to .