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.
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M. Goresky and R. MacPherson, Stratified morse theory, Ergeb. Math. Grenzgeb. (3) Vol. 14, Springer, Berlin, 1988.
J. Mather, Notes on topological stability, Harvard University, 1970, mimeographed notes.
P. Orlik, Introduction to arrangements, Flagstaff CBMS conference, 1988, mimeographed notes.
P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), 167-189.