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Combinatorial Equivalence Versus Topological Equivalence
1964
Transactions of the American Mathematical Society
In [8], Milnor exhibited an example of two finite complexes Xy,X2 which are homeomorphic, but combinatorially distinct. That was the first example of the disparity between combinatorial notions versus topological ones on finite complexes. Previously the only results were positive in nature. Papakyriakopoulos had proved the Hauptvermutung for 2-dimensional complexes [11], and Moise [10] (and later Bing) had proved the Hauptvermutung for 3-dimensional manifolds. The object of this paper is to
doi:10.2307/1994245
fatcat:5rwgpk7hpjfdphscievbpctvfm