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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
DOI: https://doi.org/10.1090/S0002-9947-1970-0271947-X
MathSciNet review: 0271947
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References [Enhancements On Off] (What's this?)

  • [1] J. S. Downing, Manifolds which are homology doubles, Ph.D. Thesis, Michigan State University, East Lansing, Mich., 1969.
  • [2] M. J. Greenberg, Lectures on algebraic topology, Benjamin, New York, 1967. MR 35 #6137. MR 0215295 (35:6137)
  • [3] J. F. P. Hudson and E. C. Zeeman, On regular neighborhoods, Proc. London Math. Soc. (3) 14 (1964), 719-745. MR 29 #4063. MR 0166790 (29:4063)
  • [4] W. S. Massey, Algebraic topology: An introduction, Harcourt, Brace & World, New York, 1967. MR 35 #2271. MR 0211390 (35:2271)
  • [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 \geqq 5$, Topology of $ 3$-Manifolds and Related Topics (Proc. Univ. of Georgia Inst., 1961), Prentice-Hall, Englewood Cliffs, N. J., 1962, pp. 198-204. MR 25 #3536. MR 0140113 (25:3536)
  • [7] -, Seminar on combinatorial topology, Inst. Hautes Études Sci., Paris, 1963 (mimeograph).

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DOI: https://doi.org/10.1090/S0002-9947-1970-0271947-X
Article copyright: © Copyright 1970 American Mathematical Society

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