Homotopy classification of equivariant regular sections |
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Authors: | Shyūichi Izumiya |
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Institution: | (1) Department of Mathematics Faculty of Science, Hokkaido University, Sapporo 060, Japan;(2) Present address: Department of Mathematics, Nara women's University, Nara 630, Japan |
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Abstract: | In his paper 2], Bierstone proves the equivariant Gromov theorem which is an integrability theorem for “open regularity condition”
of equivariant sections of a smooth G-fibre bundle under the assumption that all orbit bundles of base manifold are non-closed.
Here, we prove the result without his assumption under a nice “open regularity condition” which we call “G-extensible”.
One of the examples of “G-extensible condition” is given by notions of Thom-Boardman singularities. |
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