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Cohomological dimension,self-linking,and systolic geometry

Authors:

Alexander N Dranishnikov Mikhail G Katz Yuli B Rudyak

Institution:

1.Department of Mathematics,University of Florida,Gainesville,USA;2.Department of Mathematics,Bar Ilan University,Ramat Gan,Israel

Abstract:

Given a closed manifold M, we prove the upper bound of

¹/₂(dimM + cd(p₁M)){1 \over 2}(\dim M + {\rm{cd}}({{\rm{\pi }}_1}M))

Keywords:
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