## Summary of lectures and seminars |

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### Contents

Foreword | 4 |

Seminar on Generalized Manifolds | 28 |

Seminar on Topology of 3space | 36 |

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### Common terms and phrases

3-manifold 3-space 3-sphere Amer aposyndetic approximation theorem Banach algebra boundary bounded characterization closed subset compact Hausdorff space compact metric continuum compact space completely regular connected sets contains continuous collection continuous curve continuous functions convergence countable decomposition space defined denote dense differentiation dimension dimensional disk elements of G equivalent Euclidean example exists extension fiber finite number fixed point property Hausdorff space Henriksen homeomorphism homology indecomposable integer intersect isomorphic locally compact locally connected manifold map f Mathematics maximal ideal metric space Montgomery n-gcm neighborhood nondegenerate normal space normed linear space open covering open mapping open set open subset orbit paracompact spaces plane continuum point set positive number problem Proc proof proved pseudo-arc question R. D. Anderson R. H. Bing real-valued ring semi-metric space Seminar separate the plane sequence shown simple closed curve sphere subcontinuum Suppose theory topological space transformation triangulation uniformly universal curve Whyburn