The mapping class group of powers of the long ray and other non-metrisable spaces

Mathieu Baillif; Satya Deo; David Gaul

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The mapping class group of powers of the long ray and other non-metrisable spaces

机译：长射线和其他不可度量空间的幂的映射类组

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摘要

We identify the mapping class group, i.e. the space of homeomorphisms modulo isotopy, of powers of the long ray and long line as well as generalisations of the long plane obtained by taking copies of the first octant of the long plane and identifying them along their boundaries. We show that every countable group is the mapping class group of such a space. We also consider homotopy classes of continuous functions between these spaces.

机译：我们确定了映射类组，即长射线和长线的幂的同胚同态模同位素空间，长平面的概化，这是通过复制长平面的第一个八分圆并沿其边界识别它们而获得的。我们表明，每个可数组都是该空间的映射类组。我们还考虑了这些空间之间连续函数的同伦类。

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来源
《Topology and its applications》 |2010年第8期|p.1314-1324|共11页
作者
Mathieu Baillif; Satya Deo; David Gaul;
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作者单位

Universite de Genive, Section de Mathematiques, 2-4 rue du Lievre, Case postale 64,1211 Ceneve 4, Switzerland;

Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad-211019, India;

Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand;

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正文语种 eng
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关键词
long line; long ray; group of homeomorphisms; mapping class group; isotopy; torsion; ω-bounded; typel; homotopy class; directed graph;

机译：长线长射线同胚群映射类组;同位素扭转ω有界类型同伦类;有向图;

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7. The mapping class group of powers of the long ray and other non-metrisable spaces☆ [O] . Baillif, Mathieu, Deo, Satya, Gauld, David 2010

机译：长射线和其他不可度量空间的幂的映射类组☆

The mapping class group of powers of the long ray and other non-metrisable spaces

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