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Feb 20, 2017 at 19:11 answer added D1811994 timeline score: 1
Oct 7, 2016 at 16:23 comment added Lee Mosher They are not equivalent. A triangulation is a special case of a CW complex.
Oct 7, 2016 at 15:34 comment added lun zhang Yes, that is the definition plus some like locally finite condition. So triangulation and regular CW complex are equivalent?
Oct 7, 2016 at 14:29 comment added Denis Nardin @lunzhang What is your definition of triangulation? If it is "homeomorphism with a simplicial complex", then the answer is yes (every simplicial complex has an obvious CW structure).
Oct 7, 2016 at 13:47 comment added lun zhang Yes, in my understanding triangulation is very strong. So do you mean triangulation will induce a CW complex structure?
Oct 7, 2016 at 13:37 comment added Liviu Nicolaescu A triangle is homeomorphic to a disk, a $3$-dimensional simplex is homeomorphic to a $3$-dim ball etc.
Oct 7, 2016 at 13:05 history asked lun zhang CC BY-SA 3.0