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Editorial Preface xix
A Study of His Life by S Singh 3
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2-simplex 2-sphere 3-manifold with boundary Amer approximation theorem Bd F boundary components Cantor set cartesian product closed set closure collection of mutually compact contains cube decomposition of E3 decomposition space defined Dehn's lemma denote diameter less element of G end points finite collection finite graph finite number fixed follows from Theorem Hence holes homeo homeomorphism homotopy imbedded integer interior intersects isotopy Lemma lies locally finite collection locally polyhedral manifold Math monotone map moves no point neighborhood nondegenerate elements open set open subset partitioning piecewise linear point inverses point of Bd polyhedral 2-sphere polyhedral disk polyhedron positive number proof of Theorem Property R. H. Bing segments separates shown in Figure shrunk Sierpinski curve simple closed curve simple surface simplexes simply connected solid torus space G space is topologically Suppose tetrahedron topologically different topologically equivalent triangulation upper semicontinuous decomposition vertices