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Lattice-isotopic arrangements are topologically isomorphic


Author: Richard Randell
Journal: Proc. Amer. Math. Soc. 107 (1989), 555-559
MSC: Primary 57Q37; Secondary 32C40
DOI: https://doi.org/10.1090/S0002-9939-1989-0984812-7
MathSciNet review: 984812
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Abstract: We prove that arrangements which are connected through a smooth family with constant intersection lattice have the same topology.


References [Enhancements On Off] (What's this?)

  • [1] M. Goresky and R. MacPherson, Stratified morse theory, Ergeb. Math. Grenzgeb. (3) Vol. 14, Springer, Berlin, 1988. MR 932724 (90d:57039)
  • [2] J. Mather, Notes on topological stability, Harvard University, 1970, mimeographed notes.
  • [3] P. Orlik, Introduction to arrangements, Flagstaff CBMS conference, 1988, mimeographed notes. MR 1006880 (90i:32018)
  • [4] P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), 167-189. MR 558866 (81e:32015)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0984812-7
Article copyright: © Copyright 1989 American Mathematical Society

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