A note on the isotopy problem for
$$ \mathbb{R}^2 $$
-planes |
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Authors: | Email author" target="_blank">N?RosehrEmail author |
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Institution: | (1) Mathematisches Institut, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany |
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Abstract: | For a class of stable planes we define a notion of isotopy equivalence with
respect to that class and prove that any two planes of a certain class of
-planes comprising all affine
-planes are isotopy equivalent. Furthermore we obtain that all affine
-planes are isotopy equivalent in the class of affine
-planes. Finally we give an example which shows that this approach cannot be easily generalized
to 2-dimensional projective planes, and we outline a different way for a
possible generalization.Received: 27 April 2001 |
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Keywords: | 51H10 51H20 |
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