Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Lattice-isotopic arrangements are topologically isomorphic


Author: Richard Randell
Journal: Proc. Amer. Math. Soc. 107 (1989), 555-559
MSC: Primary 57Q37; Secondary 32C40
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] Mark Goresky and Robert MacPherson, Stratified Morse theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 14, Springer-Verlag, Berlin, 1988. MR 932724
  • [2] J. Mather, Notes on topological stability, Harvard University, 1970, mimeographed notes.
  • [3] Peter Orlik, Introduction to arrangements, CBMS Regional Conference Series in Mathematics, vol. 72, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1989. MR 1006880
  • [4] Peter Orlik and Louis Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), no. 2, 167–189. MR 558866, 10.1007/BF01392549

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