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Transactions of the American Mathematical Society

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Decomposing manifolds into homologically equivalent submanifolds

Author: J. Scott Downing
Journal: Trans. Amer. Math. Soc. 152 (1970), 495-501
MSC: Primary 57.01; Secondary 55.00
MathSciNet review: 0271947
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  • [1] J. S. Downing, Manifolds which are homology doubles, Ph.D. Thesis, Michigan State University, East Lansing, Mich., 1969.
  • [2] Marvin J. Greenberg, Lectures on algebraic topology, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0215295
  • [3] J. F. P. Hudson and E. C. Zeeman, On regular neighbourhoods, Proc. London Math. Soc. (3) 14 (1964), 719–745. MR 0166790,
  • [4] William S. Massey, Algebraic topology: An introduction, Harcourt, Brace & World, Inc., New York, 1967. MR 0211390
  • [5] H. Seifert and W. Threlfall, Lehrbuch der topologie, Teubner, Leipzig, 1934; reprint, Chelsea, New York, 1947.
  • [6] E. C. Zeeman, The Poincaré conjecture for 𝑛≥5, Topology of 3-manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961) Prentice-Hall, Englewood Cliffs, N.J., 1962, pp. 198–204. MR 0140113
  • [7] -, Seminar on combinatorial topology, Inst. Hautes Études Sci., Paris, 1963 (mimeograph).

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Article copyright: © Copyright 1970 American Mathematical Society