Hatcher 2.1.10

Hatcher, Algebraic Topology, Chapter 2, Section 1

10. (a) Show the quotient space of a finite collection of disjoint 2-simplices obtained by identifying pairs of edges is always a surface, locally homeomorphic to \mathbb{R}^2. (b) Show the edges can always be oriented so as to define a \Delta-complex structure on the quotient surface. [This is more difficult].
Proof.

\square

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