Proves Rudyak's conjecture that cat(M) ≥ cat(N) for any degree-one map f:M→N between oriented closed manifolds, when M and N are simply connected spin n-manifolds with n≤8.
Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, FL 32611-8105, USA Email address : dranish@math.ufl.edu Email address : deepkundu@ufl.edu
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Rudyak's conjecture for lower dimensional 1-connected manifolds
Proves Rudyak's conjecture that cat(M) ≥ cat(N) for any degree-one map f:M→N between oriented closed manifolds, when M and N are simply connected spin n-manifolds with n≤8.