“Classification Theorem for Surfaces”的概念、定义、习题解题方法及翻译-数学辞典

单词

Classification Theorem for Surfaces

释义

Classification Theorem for Surfaces

Any connected closed (i.e. compact) surface is homeomorphic to precisely one of a list of standard surfaces. The orientable standard surfaces are the tori of differing genus g≥0; the non-orientable standard surfaces are the sphere with k>0 Möbius strips sewn in. The standard surfaces are topologically distinct on account of the orientability (or not) and their Euler characteristic.

http://www.maths.ed.ac.uk/~aar/surgery/zeeman.pdf

• A well-illustrated description of some types of surfaces.

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数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。