Poset fiber theorems

Anders Björner, Michelle L. Wachs, Volkmar Welker

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

Suppose that f : P → Q is a poset map whose fibers f -1(Q ≤q) are sufficiently well connected. Our main result is a formula expressing the homotopy type of P in terms of Q and the fibers. Several fiber theorems from the literature (due to Babson, Baclawski and Quillen) are obtained as consequences or special cases. Homology, Cohen-Macaulay, and equivariant versions are given, and some applications are discussed.

Original languageEnglish (US)
Pages (from-to)1877-1899
Number of pages23
JournalTransactions of the American Mathematical Society
Volume357
Issue number5
DOIs
StatePublished - May 2005

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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