MAPPINGS FROM S(3) TO S(2) WHOSE POINT INVERSES HAVE THE SHAPE OF A CIRCLE

被引：0
|
作者：
Coram, D. S. [1 ]
Duvall, P. F., Jr. [1 ]
机构：
[1] Oklahoma State Univ, Stillwater, OK 74074 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 1979年 / 10卷 / 03期
关键词：
approximate fibration; mappings on manifolds; Seifert fiber map; regular mappings;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f:S(3) -> S(2) be a continuous function. If y is an element of S(2) assume that f(-1)(y) has the shape of a circle and that there are neighborhoods V subset of U of f(-1)(y) such: that for any point inverse f(-1)(z) subset of V, the inclusion of f(-1)( z) into U is essential. We show that f can be approximated arbitrarily closely by Seifert fiber maps.
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页码：239 / 246
页数：8
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