## Studies in modern topologyMathematical Association of America; distributed by Prentice-Hall [Englewood Cliffs, N.J., 1968 - Mathematics - 212 pages |

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### Contents

WHAT IS A CURVE? | 3 |

Wolfgang Haken | 39 |

SEMISIMPLICIAL HOMOTOPY THEORY | 99 |

Copyright | |

3 other sections not shown

### Common terms and phrases

1-dimensional 2-dimensional elements 2-spheres 3-cells in M3 3-manifold abelian algebraic topology boundary bounds a disk called Cartesian product cell-decomposition cobordism theory cohomology theory combinatorial manifolds commutative compact complex component of M3 connected component critical points CW-complex define definition denote diffeomorphic differentiable manifold differentiable structure differential topology dimension Eilenberg elementary with respect embedding equivalence exists fiber map finiteness theorem functor geometric handle of index handlebody Heegaard-surface hence homeomorphic homology homotopy class homotopy groups homotopy theory homotopy type intersects isomorphism J. H. C. Whitehead Lemma Let us consider map F Math meridian disks Milnor Morse function obtain open 3-cell open disk p-operation pairwise disjoint point sets points of index polyhedral problems proof Proposition prove respect to 3-cells simple closed curve Sn+p spectral sequence submanifold surfaces Thom transversal trivial vector bundle