In this paper we give a solution to a problem of Kulpa about the interior of the image of certain continuous maps f:X--->R^n where X is a compact subset of R^n with nonempty interior. Moreover we show that the image of every continuous map f : X ---> R^2 where X is a nonempty compact subset of R^2 and diam f^-1 f(x) < \sqrt 3 a_X for every x \in Fr X, has nonempty interior.
On a problem related to a non-squeezing theorem
FEDELI, Alessandro;
2005-01-01
Abstract
In this paper we give a solution to a problem of Kulpa about the interior of the image of certain continuous maps f:X--->R^n where X is a compact subset of R^n with nonempty interior. Moreover we show that the image of every continuous map f : X ---> R^2 where X is a nonempty compact subset of R^2 and diam f^-1 f(x) < \sqrt 3 a_X for every x \in Fr X, has nonempty interior.File in questo prodotto:
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