Proceedings of the American Mathematical Society

Author(s): David Handel
Journal: Proc. Amer. Math. Soc. 124 (1996), 1609-1613.
MSC (1991): Primary 57N75, 57R20, 57S17; Secondary 41A50
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Abstract: A continuous map $f:X\to \mathbf R ^{N}$ is said to be -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 $M$

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