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On extensions of the domain invariance theorem |
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| Authors: | Wadysaw Kulpa |
| Affiliation: | Department of Mathematics, University of Silesia, ul. Bankowa 14, 40 007, Katowice, Poland |
| Abstract: | If f maps continuously a compact subset X of Rn into Rn and x is a point whose distance from the boundary ∂X is greater than double diameter of the fibres of the points in f(∂X) then f(x) is in the interior of f(X). This theorem extends some results due to Borsuk and Sitnikov. |
| Keywords: | Domain invariance theorem Brouwer–Borsuk–Sitnikov's type theorems |
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