## Topology Seminar Wisconsin, 1965During 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 Poincar on the Poincar conjectures, and sketching a proof of Haken's main result. |

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### Contents

ANOTHER DECOMPOSITION OF E3 INTO POINTS AND INTERVALS | 33 |

The Poincaré Conjecture | 83 |

fOKJERNING FAKE CUBES | 101 |

REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM | 115 |

Nmanifolds | 153 |

APPROXIMATIONS AND ISOTOPES IN THE TRIVIAL RANGE | 171 |

ON ASPHERICAL EMBEDDINGS OF 2SPHERES IN THE USPHERE | 189 |

GEOMETRIC CHARACTERIZATION OF DIFFEREIITIABLE MANIFOLDS | 197 |

PROPERTIES AND THE GENERALIZED SLICING STRUCTURE PROPERTIES | 219 |

FIBER SPACES AND nREGULARITY | 229 |

FIBER SPACES WITH TOTALLY PATHWISE DISCONNECTED FIBERS | 235 |

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### Common terms and phrases

2-sphere 3-manifold Amer angle boundary link C1 manifold Cantor set cellular characterization combinatorial n-manifold compact metric continuum component condition contains continuous COROLLARY crumpled cube cube with handles decomposition of E3 decomposition space define denote dimension dimensional disc disjoint element of G embedding equivalent example exists fiber space finite fundamental group G is homeomorphic graph h-cobordism hence holes homeomorphic to E3 imbedding integer intersects interval isotopy k-complex Lemma Let f limit point locally flat locally-tame M,-space manifold in Rn map f Math metric space monotone decomposition Moore space non-degenerate elements normal Moore space one-dimensional one-point sets open set paracompact PCHP piecewise linear plane Poincaré conjecture point-like decomposition polyhedral polyhedron Proc proof of Theorem proved Question R. H. Bing regular neighborhood result semi-metric space sequence simple closed curves simply connected tangent topological space uncountable union upper semi-continuous decomposition

### Popular passages

Page 23 - MK Fort, Jr., A note concerning a decomposition space defined by Bing, Ann. of Math. vol. 65 (1957) pp.

### References to this book

Transactions of the American Mathematical Society, Volume 148 American Mathematical Society No preview available - 1970 |