Paths in spaces of homeomorphisms on the plane

R.A. McCoy

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Paths in spaces of homeomorphisms on the plane

机译：平面上同胚空间中的路径

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摘要

The path components and connected components are determined for the space H(C) of homeomorphisms on the complex plane C for the three cases that H(C) has the pointwise topology, the compact-open topology, and the fine topology. The space H(C) is also considered with the uniform topology, but the characterization of the path components and connected components there is left as an open question.

机译：对于H（C）具有点状拓扑，紧凑开放拓扑和精细拓扑的三种情况，确定了复平面C上同胚同空间H（C）的路径分量和连接分量。还考虑了具有统一拓扑的空间H（C），但是路径分量和连接分量的特征仍然是一个悬而未决的问题。

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来源
《Topology and its applications》 |2012年第16期|p.3518-3537|共20页
作者
R.A. McCoy;
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作者单位

Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA;

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原文格式 PDF
正文语种 eng
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关键词
space of homeomorphisms on the plane; isotopy on the plane; path; path component; arc; orientation preserving; orientation reversing;

机译：平面上的同胚空间;飞机上的同位素;路径;路径分量;弧;保持方向;方向反转;

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2. A homeomorphism relating path spaces of stochastic processes with values in R~Z respectively (S~1)~Z [J] . Sergio Albeverio, Michael R?ckner, Minoru W. Yoshida Infinite dimensional analysis, quantum probability, and related topics . 2014,第1期

机译：同胚将随机过程的路径空间分别与R〜Z中的值（S〜1）〜Z相关
3. SEMI-GENERALIZED HOMEOMORPHISMS AND GENERALIZED SEMI-HOMEOMORPHISMS IN TOPOLOGICAL SPACES [J] . R. DEVI, K. BALACHANDRAN, H. MAKI Indian Journal of Pure and Applied Mathematics . 1995,第3期

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4. Degrees of Non-computability of Homeomorphism Types of Polish Spaces [C] . Mathieu Hoyrup, Takayuki Kihara, Victor Selivanov Conference on Computability in Europe . 2020

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5. LOCAL CONNECTIVITY OF THE SPACE OF HOMEOMORPHISMS OF A NON-COMPACT MANIFOLD. [D] . HALL, PETER ROBIN. 1968

机译：非紧流形同胚空间的局部连通性。
6. Paths of femoral nerve catheters placed using ultrasound-guided in plane vs out of plane techniques [O] . Benedikt Büttner, Joschka Dracklé, Katalin Kristof, -1

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7. Paths in spaces of homeomorphisms on the plane [O] . McCoy R.A. 2012

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8. Admissibility, Homeomorphism Extension and the AR-Property in Topological Linear Spaces [R] . van der Bijl, J., Dobrowolski, T., Hart, K. P., 1991

机译：可拓性，同胚扩展和拓扑线性空间中的aR-性质

Paths in spaces of homeomorphisms on the plane

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