11 citations · 24 across the 7 of their papers we have counts for
8 papers
A Cartan formula for the cohomology of polyhedral products and its application to the ring structure
A. Bahri, M. Bendersky, F. R. Cohen +1
We give a geometric method for determining the cohomology groups and the product structure of a polyhedral product, under suitable freeness conditions or with coefficients taken in…
Polyhedral products and features of their homotopy theory
A. Bahri, M. Bendersky, F. R. Cohen
A polyhedral product is a natural subspace of a Cartesian product that is specified by a simplicial complex. The modern formalism arose as a generalization of the spaces known as m…
The Lie module and its complexity
Frederick R. Cohen, David J. Hemmer, Daniel K. Nakano
The complexity of a module is an important homological invariant that measures the polynomial rate of growth of its minimal projective resolution. For the symmetric group , th…
On free loop spaces of toric spaces
A. Bahri, M. Bendersky, S. Gitler +1
Growth of the Hilbert-Poincarë series for the rational homology of the free loop space of a toric space is addressed. In case the toric space is a manifold, the structure of the fa…
On monomial ideal rings and a theorem of Trevisan
A. Bahri, M. Bendersky, F. R. Cohen +1
A direct proof is presented of a form of Alvise Trevisan's result, that every monomial ideal ring is represented by the cohomology of topological space. Certain of these rings are…
Cup-products in generalized moment-angle complexes
A. Bahri, M. Bendersky, F. R. Cohen +1
Given a family of based CW-pairs together with an abstract simplicial complex with vertices, there is an associated based…
Commuting elements in central products of special unitary groups
Alejandro Adem, Frederick R. Cohen, Jose Manuel Gomez
In this paper the space of commuting elements in the central product of copies of the special unitary group is studied, where is a prime number. In partic…
On decomposing suspensions of simplicial spaces
A. Adem, A. Bahri, F. R. Cohen +2
Let denote a simplicial space. The purpose of this note is to record a decomposition of the suspension of the individual spaces occurring in in ca…