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-regular maps on smooth manifolds
Authors:David Handel
Institution:Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Abstract:A continuous map $f:X\to \mathbf R ^{N}$ is said to be $k$-regular if whenever $x_{1},\dots , x_{k}$ are distinct points of $X$, then $f(x_{1}),\dots , f(x_{k})$ are linearly independent over $\mathbf R $. For smooth manifolds $M$ we obtain new lower bounds on the minimum $N$ for which a $2k$-regular map $M \to \mathbf R ^{N}$ can exist in terms of the dual Stiefel-Whitney classes of $M$.

Keywords:$k$-regular maps  configuration spaces  smooth manifolds  dual Stiefel-Whitney classes
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