8

I am trying to read Algebraic topology book by Hatcher. On page 535 he has stated that regular CW complexes are homeomorphic to $\Delta$-complexes. My question is that why is this true? Just an easy visible example is helpful.

Pouya Layeghi
  • 1,470

1 Answers1

0

You can construct a $\Delta$-complex structure by inducting on dimension of the cells: triangulate each closed disk as the cone on its boundary.

ronno
  • 11,390