07549nam 22016695 450 991015474240332120190708092533.01-4008-8207-910.1515/9781400882076(CKB)3710000000631397(MiAaPQ)EBC4738667(DE-B1597)467955(OCoLC)979759958(DE-B1597)9781400882076(EXLCZ)99371000000063139720190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierTopology Seminar Wisconsin, 1965. (AM-60), Volume 60 /R. H. Bing, Ralph J. BeanPrinceton, NJ : Princeton University Press, [2016]©19671 online resource (261 pages) illustrationsAnnals of Mathematics Studies ;3330-691-08056-9 Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 / Armentrout, Steve -- EQUIVALENT DECOMPOSITIONS OF E3 / Armentrout, Steve / Lininger, Lloyd L. / Meyer, Donald V. -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS / McAuley, Louis F. -- CRUMPLED CUBES / Lininger, L. -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 / Martin, Joseph -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS / McMillan, D. R. -- BOUNDARY LINKS / Smythe, N. -- SURFACES IN E3 / Burgess, C. E. -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE / Stallings, John -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE / Bing, R. H. -- CONCERNING FAKE CUBES / Connor, A. C. -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES / Heath, R. W. -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM / Jones, P. Burton -- TWO CONJECTURES IN POINT SET THEORY / Younglove, J. N. -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 / Thomas, E. S. -- CHAINABLE CONTINUA / Fugate, J. B. -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES / McAuley, Louis F. -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- TYPES OF ULTRAFILTERS / Rudin, Mary Ellen -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE / Bryant, John L. -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE / Dancis, Jerome -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE / Dancis, Jerome -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE / Giffen, Charles H. -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE / Gluck, Herman -- WHITEHEAD TORSION AND h-COBORDISM / Szczarba, R. H. -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES / McAuley, Louis F. -- FIBER SPACES AND n-REGULARITY / McAuley, L. F. / Tulley, P. A. -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS / Ungar, Gerald S. -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS / Fadell, E. During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.Annals of mathematics studies ;no. 60.TopologyAbstract algebra.Branch point.Cantor set.Cartesian coordinate system.Cartesian product.Characteristic class.Characterization (mathematics).Cohomology.Commutator subgroup.Compactification (mathematics).Complete metric space.Conjecture.Connected space.Continuous function (set theory).Continuum hypothesis.Countable set.Cube.Cyclic group.Degeneracy (mathematics).Dehn's lemma.Diagram (category theory).Dimension theory (algebra).Dimension.Discrete group.Disk (mathematics).Embedding.Epimorphism.Equilateral triangle.Equivalence class.Equivalence relation.Euclidean space.Existential quantification.Fiber bundle.First-countable space.Fixed-point property.Function (mathematics).Fundamental group.Graph (discrete mathematics).Graph of a function.Grassmannian.H-cobordism.Hausdorff distance.Homeomorphism.Homotopy group.Homotopy.Hypercube.Hyperplane.Inclusion map.Inner automorphism.Intersection (set theory).Interval (mathematics).Inverse limit.Jordan curve theorem.K-cell (mathematics).Knot theory.Lexicographical order.Limit ordinal.Limit point.Line (geometry).Linear extension.Loop theorem.Mathematical induction.Mean value theorem.Metric space.Metrization theorem.Module (mathematics).Moore space.N-connected.N-sphere.Natural number.Neighbourhood (mathematics).Non-Euclidean geometry.Normal subgroup.Open set.Order topology.Orthogonal group.P-adic number.Poincaré conjecture.Polyhedron.Projection (linear algebra).Projection (mathematics).Projective line.Rectangle.Scientific notation.Semi-locally simply connected.Sign (mathematics).Simply connected space.Special case.Sphere theorem (3-manifolds).Submanifold.Subset.Summation.Tangent space.Theorem.Topological graph.Topological space.Two-dimensional space.Ultrafilter.Unit interval.Upper half-plane.Topology.513.83Bean Ralph J., Bing R. H., University of Wisconsin,DE-B1597DE-B1597BOOK9910154742403321Topology Seminar Wisconsin, 1965. (AM-60), Volume 602785794UNINA