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Borsuk's theorem 1geometric topology 1piecewise continuous maps 1retraction theory 1topology 1

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math.CA2026

On Borsuk's non-retract theorem final version

Waldemar Sieg

The paper revisits Borsuk's non-retract theorem and demonstrates that, while a unit sphere cannot be a continuous retract of the unit closed ball, it can be a piecewise continuous…