About the macroscopic dimension of certain PSC–Manifolds

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The Journal

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Algebraic & Geometric Topology 9 (2009) 21–27

DOI: 10.2140/agt.2009.9.21

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.

closed manifold, $KO$-characteristic classes, scalar curvature

Primary: 57R19

Secondary: 57R20

Received: 13 June 2008

Revised: 8 December 2008

Accepted: 10 December 2008

Published: 6 January 2009

Dmitry Bolotov
B Verkin Institute for Low Temperature Physics Lenina Ave 47 Kharkov 61103 Ukraine