Dunce cap is a example of space which is contractible but not collapsible, but collapsibility is only defined for simplicial complexes. Can anyone explain how does dunce hat has simplicial structure?
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actually I think it's normally called the 'dunce hat'. – Dan Rust Mar 20 '14 at 14:03
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Yes, we can also call this by dunce hat. – user93620 Mar 20 '14 at 14:05
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http://math.stackexchange.com/questions/675145/simplicial-complexes-triangulation-general-question – Dan Rust Mar 20 '14 at 14:08