A tightness criterion for homology manifolds with or without boundary. (May 2015)

• Record Type: Journal Article
• Authors: Bagchi, Bhaskar
• Is Part Of: European journal of combinatorics. Volume 46(2015:May)
• Page Start: 10
• Page End: 15
• Publication Date: 2015-05
• Subjects: Combinatorial analysis -- Periodicals; Analyse combinatoire -- Périodiques; Combinatorial analysis; Periodicals; Electronic journals; 511.6
• DOI: 10.1016/j.ejc.2014.11.002
• Languages: English
• ISSNs: 0195-6698

Abstract

Abstract: Generalizing the previously known combinatorial criteria for tightness, we prove that, for any field F, all k -stacked and ( k + 1 ) -neighbourly F -homology manifolds M are F -tight. The only condition is that, in case char ( F ) ≠ 2 and M is without boundary, M must be orientable. This provides a complete answer to a recent question of Effenberger.