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.
Sur le probleme de trois geodesiquesfer- mees sur les surfaces de genus 0, Comptes Rendus de l’Academie Sciences de Paris, 189 (1929) 269-271
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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.