## The Collected Papers of R.h. Bing, Volumes 1-2A powerful mathematician and a great problem solver, R. H. Bing laid the foundation for a number of areas of topology. Many of his papers have continued to serve as a source of major theoretical developments and concrete applications in recent years. One outstanding example was Michael H. Freedman's use of Bing's Shrinking Criterion to solve the four-dimensional Poincare Conjecture. This two-volume set brings together over one hundred of Bing's research, expository, and miscellaneous papers. These works range over a great variety of topics in topology, including the topology of manifolds, decomposition spaces, continua, metrization, general topology, and geometric topology. In addition, there are a number of papers in the areas of convex functions, linearity, and conformal varieties.The introductory section in the first volume provides historical background on Bing's life and achievements. This collection will appeal to mathematicians in all areas, and especially those in topology, as well as students, historians, and educators in the mathematical sciences, for it provides a complete historical summary of the mathematical events in the life of the man and the mathematician, R. H. Bing. |

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### Contents

I | xxiii |

II | 37 |

III | 71 |

IV | 73 |

V | 75 |

VI | 77 |

VII | 87 |

VIII | 95 |

XV | 145 |

XVI | 149 |

XVII | 167 |

XVIII | 179 |

XIX | 183 |

XX | 185 |

XXI | 187 |

XXII | 247 |

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2-sphere 3-manifolds Amer axioms belongs boundary bounded chain circle closed sets closed subset closure complement complementary domains component consider contains a point continuous curve convex metric cube decomposition of E3 decomposition space defined denote diameter less disk distance element of G embedded end point Euclidean example finite number fixed point property function graph Hence hereditarily indecomposable homeomorphism homogeneous homotopy horned sphere imbedded indecomposable continuum infinite interior intersects interval isotopy Lemma lies limit point linear isotopy locally connected Math mathematics metric space Moore space mutually exclusive neighborhood nondegenerate open covering open set open subset pair of points partitioning plane continuum point set polygonal polyhedral positive number proof of Theorem pseudo-arc push R. H. Bing respect result satisfying conditions segment shown in Figure simple closed curve simplex simply connected snake-like subchain subcontinuum Suppose surface topological space topologically equivalent triangulation uncountable vertex vertical