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.
Iwase, Lusternik-Schnirelmann category of a sphere-bundle over a sphere, Topology 42 (2003) 701-713
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AT 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.