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Dold manifolds with $ (Z\sb 2)\sp k$-action

Author: R. J. Shaker
Journal: Proc. Amer. Math. Soc. 123 (1995), 955-958
MSC: Primary 57S17; Secondary 57R75
MathSciNet review: 1223520
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Abstract: Actions on Dold manifolds $ P(m,{2^k})$ are constructed to determine the ideals $ \mathcal{I}_{ \ast ,k}^{{2^k}}$ of cobordism classes in $ {\mathcal{N}_ \ast }$ containing a representative admitting a $ {({{\mathbf{Z}}_2})^k}$-action with fixed point set of codimension $ {2^k}$.

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Keywords: Cobordism class, Dold manifold, fixed point set, line bundle, projective space bundle, $ {({{\mathbf{Z}}_2})^k}$-action
Article copyright: © Copyright 1995 American Mathematical Society

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