On Borsuk's non-retract theorem

Waldemar Sieg
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Abstract

The classical Borsuk's non-retract theorem asserts that a unit sphere in $\mathbb{R}^n$ is not a continuous retract of the unit closed ball. We will show that such a unit sphere is a piecewise continuous retract of the unit closed ball.
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关于博尔苏克的非撤回定理
经典的博尔苏克非缩回定理断言,$\mathbb{R}^n$ 中的单位球不是单位封闭球的连续缩回。我们将证明这样的单位球是单位封闭球的片断连续缩回。
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