Volume 9, issue 1 (2009)

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About the macroscopic dimension of certain PSC–Manifolds

Dmitry Bolotov

Algebraic & Geometric Topology 9 (2009) 21–27
Abstract

In this note we give a partial answer to Gromov’s question about macroscopic dimension filling of a closed spin PSC–Manifold’s universal covering.

Keywords
closed manifold, $KO$-characteristic classes, scalar curvature
Mathematical Subject Classification 2000
Primary: 57R19
Secondary: 57R20
References
Publication
Received: 13 June 2008
Revised: 8 December 2008
Accepted: 10 December 2008
Published: 6 January 2009
Authors
Dmitry Bolotov
B Verkin Institute for Low Temperature Physics
Lenina Ave 47
Kharkov 61103
Ukraine