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 | References | Similar Articles | Additional Information
Abstract: We prove that arrangements which are connected through a smooth family with constant intersection lattice have the same topology.
- [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, https://doi.org/10.1007/BF01392549
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1989-0984812-7
Article copyright:
© Copyright 1989
American Mathematical Society
