| 连续映射的拓扑度(续) |
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| 引用本文： | 徐千里.连续映射的拓扑度(续)[J].湖南城市学院学报,1988(6). |
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| 作者姓名： | 徐千里 |
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| 作者单位： | 益阳师专数学科 |
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| 摘 要： | §5 局部拓扑度 §4讨论了n维球面S~n到自身的连续映射的拓扑度,显然研究的连续映射类是不够广泛的,而在实际上碰到的连续映射类远比这种连续映射类广泛得多。为了对一类比较广泛的连励映射类也有拓扑度的理论,所以我们在下面引进局部拓扑度的概念,这是分析学者感兴趣的。很多分析数学文献上研究的拓扑度就是这种局部拓扑度。为了保持前后一致,我们仍用代数拓扑的方法来研究。基本思路是用球面到自身的连续映射的拓扑
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The Degree of Continuous Maps |
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| Xu QianLi.The Degree of Continuous Maps[J].Journal of Hunan City Univeristy,1988(6). |
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| Authors: | Xu QianLi |
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| Institution: | Xu QianLi Department of Mathematics,Yi Yang College |
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| Abstract: | By means of homology thccry, the author Lave investigated degree of a map from the n-sphere to itself, local degree of a map at the pcint and local degree of a map along the curve at the point. The elementary properties of degree and lccal degree are presented, Applications to problems of the fixed Poir.d, to vector fields, solvablity of equation, zero of polynomials are also introduced. |
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| Keywords: | AND PHRASES homology group continuous map induced homomorphism homotopy spllere topological degree Vecto field fixed point |
| 本文献已被 CNKI 等数据库收录！ |
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