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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Lattice-isotopic arrangements are topologically isomorphic
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by Richard Randell PDF
Proc. Amer. Math. Soc. 107 (1989), 555-559 Request permission

Abstract:

We prove that arrangements which are connected through a smooth family with constant intersection lattice have the same topology.
References
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  • J. Mather, Notes on topological stability, Harvard University, 1970, mimeographed notes.
  • 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, DOI 10.1090/cbms/072
  • Peter Orlik and Louis Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), no. 2, 167–189. MR 558866, DOI 10.1007/BF01392549
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • 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