Homological stability for unordered configuration spaces of
connected manifolds was discovered by Th. Church and extended by O.
Randal-Williams and B. Knudsen:
. We characterize the manifolds satisfying
is constant for
We give few examples of closed oriented manifolds with even
cohomology, whose top Betti numbers are stable after a shift of
Key Words: Unordered configuration spaces,
homological stability, Knudsen model, Félix-Thomas model.
2010 Mathematics Subject Classification: Primary
55R80, 57N65, 57R19; Secondary 55P62.
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