Topology of Manifolds

Topology of Manifolds
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流形拓扑

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发表时间:
1949
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通讯作者:
R. Wilder
R. Wilder
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文献类型:
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作者:
R. Wilder

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$Overline E^1$和$S^1$局部连通空间的基本性质欧氏$n$球面Peano空间的基本性质刻画$S^2$和2-流形非度量$LC$空间的基本性质,及其在2-球面基本代数拓扑局部连通性和局部上连通性的子集上的应用同调和上同调理论在连续体广义流形理论中的应用Poincar‘e和Alexander的Poincar’e和Alexander型正则流形和流形的广义$n$-Cell子流形分解成$n$-GM可达性的元胞$LC^k$子集及其应用.一些未解决的问题。
Elementary concepts characterizations of $overline E^1$ and $S^1$ Locally connected spaces fundamental properties of the euclidean $n$-sphere Peano spaces characterizations of $S^2$ and the 2-manifolds Non-metric $LC$ spaces, with applications to subsets of the 2-sphere Basic algebraic topology Local connectedness and local co-connectedness Application of homology and cohomology theory to the theory of continua Generalized manifolds dualities of the Poincar'e and Alexander type Further properties of $n$-GMS regular manifolds and generalized $n$-cells Submanifolds of a manifold decomposition into cells $Lc^k$ subsets of an $n$-GM Accessibility and its applications endix. Some unsolved problems.