Electronic Version 16 (1991), 53-56

Tatsuo Goto

We consider the following conditions for a subspace X in Euclidean space Rⁿ:

1. For every (n-m-1)-dimensional plane H in Rⁿ and every \epsilon > 0 there exists an \epsilon-translation f: X --> Rⁿ such that f(X) does not meet H.

2. For every sequence { H_i } of (n-m-1)-dimensional planes in Rⁿ and every \epsilon > 0 there exists an \epsilon-translation f: X --> Rⁿ such that f(X) is disjoint from the union of the H_i.

3. For every (n-m-1)-dimensional compact polyhedron K in Rⁿ and every \epsilon > 0 there exists an \epsilon-translation f: X --> Rⁿ such that f(X) does not meet K.

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volume 16: table of contents
topology proceedings Electronic Version