风笛的同胚
Homeomorphisms of Bagpipes
摘要：
研究了可定向$ω$ -有界曲面的映射类群。根据尼科斯的风笛定理，这样的曲面分裂成一个袋子（一个有边界的紧致曲面）和许多长管道的并集。由固定袋边界的同胚类组成的子群是正规子群，并且是袋和管道的映射类群的乘积的同态像。
英文摘要：
We investigate the mapping class group of an orientable $ω$-bounded surface. Such a surface splits, by Nyikos's Bagpipe Theorem, into a union of a bag (a compact surface with boundary) and finitely many long pipes. The subgroup consisting of classes of homeomorphisms fixing the boundary of the bag is a normal subgroup and is a homomorphic image of the product of mapping class groups of the bag and the pipes.
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