A finite set of generators for the homeotopy group of a non-orientable surface

1 March 1969

journal article
research article
Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society

Vol. 65 (2) , 409-430
https://doi.org/10.1017/s0305004100044388

Abstract

Let X be a closed surface, i.e. a compact connected 2-manifold without boundary. If Gx denotes the group of all homeomorphisms of X to itself, and Nx is the normal subgroup consisting of homeomorphisms which are isotopic to the identity, then the quotient group Gx/Nx is called the homeotopy group of X and is denoted by ∧x.

Keywords

This publication has 7 references indexed in Scilit:

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