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Decompositions and Absolute Neighborhood Retracts
General Position and Algebraic
Lectures on Operator Algebras Tulane University Ring
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2-sphere 3-manifold algebraically algebraically independent ambient ambient isotopy Amer annulus Approximation Theorem assume boundary Cantor set cell-like embedding relation cells cellular codimension compact point images compact subset component construction contains continuous function COROLLARY crumpled cube cylinder neighborhood Daverman definition deformation retraction denote dimension dimensional disjoint disk element of G Euclidean exists extends fiber fibration finite fixed follows geometric Hence homeomorphism homology homology manifolds homotopy equivalence identity induction infinite integer intersect isomorphism knot l-LC Lemma Let f Let G locally flat loop map f map g mapping cylinder Math metric space obtain open set open subset pair PL manifold polyhedra polyhedron proof of Theorem Proposition prove regular neighborhood respect result retraction satisfying semicellular simple closed curve simplex spheres subgroup Suppose Taming Theorem topological triangulation trivial union unknotted vertices