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.
Bolotov, Dmitry  1
@article{10_2140_agt_2009_9_21,
author = {Bolotov, Dmitry},
title = {About the macroscopic dimension of certain {PSC{\textendash}Manifolds}},
journal = {Algebraic and Geometric Topology},
pages = {21--27},
year = {2009},
volume = {9},
number = {1},
doi = {10.2140/agt.2009.9.21},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2009.9.21/}
}
Bolotov, Dmitry. About the macroscopic dimension of certain PSC–Manifolds. Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 21-27. doi: 10.2140/agt.2009.9.21
[1] , Macroscopic dimension of 3–manifolds, Math. Phys. Anal. Geom. 6 (2003) 291
[2] , Gromov's macroscopic dimension conjecture, Algebr. Geom. Topol. 6 (2006) 1669
[3] , Positive curvature, macroscopic dimension, spectral gaps and higher signatures, from: "Functional analysis on the eve of the 21st century, Vol. II (New Brunswick, NJ, 1993)", Progr. Math. 132, Birkhäuser (1996) 1
[4] , , Positive curvature and the Dirac operator on complete Riemannian manifolds, Publ. Math. I.H.E.S 58 (1983) 295
[5] , Harmonic spinors, Advances in Math. 14 (1974) 1
[6] , $C^*$–algebras, positive scalar curvature, and the Novikov conjecture. III, Topology 25 (1986) 319
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