Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

On the homology of complements of arrangements of subspaces and spheres


Author: Yi Hu
Journal: Proc. Amer. Math. Soc. 122 (1994), 285-290
MSC: Primary 52B30; Secondary 55N99
DOI: https://doi.org/10.1090/S0002-9939-1994-1204377-6
MathSciNet review: 1204377
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that the Goresky-MacPherson combinatorial formula for the homology of the complement of affine subspaces in Euclidean space $ {\mathbb{R}^n}$ holds for much more general "mixed" arrangements of subspaces and spheres.


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

  • [GM] M. Goresky and R. MacPherson, Stratified Morse theory, Springer-Verlag, New York, Heidelberg, and Berlin, 1988. MR 932724 (90d:57039)
  • [H] Y. Hu, The geometry and topology of quotient varieties, Ph.D. thesis, MIT, 1991.
  • [JOS] K. Jewell, P. Orlik, and B. Shapiro, On the complement of affine subspaces arrangements, preprint, University of Wisconsin, 1991.
  • [OS] P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), 167-189. MR 558866 (81e:32015)
  • [Z] T. Zaslavsky, Facing up to arrangements: face-count formulas for partitions of space by hyperplanes, Mem. Amer. Math. Soc., vol. 154, Amer. Math. Soc., Providence, RI, 1975. MR 0357135 (50:9603)
  • [ZZ] G. Ziegler and R. Zivaljevic, Homotopy types of subspaces arrangements via diagrams of spaces, preprint, Mittag-Leffler, 1992. MR 1204836 (94c:55018)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 52B30, 55N99

Retrieve articles in all journals with MSC: 52B30, 55N99


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1204377-6
Article copyright: © Copyright 1994 American Mathematical Society

American Mathematical Society