Generalized Dunce Hats do not have the Double Collapsible Property

Pete Sparks
Marquette University
Instructor

“We show that no generalized dunce hat can be decomposed into two collapsible subpolyhedra whose intersection is also collapsible. This is related to the notion of the double n-space property of a contractible open n-manifold: M has the double n-space property if M can be written as the union of two euclidean n-spaces meeting in a third  euclidean n-space”.

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