50 citations · 89 across the 10 of their papers we have counts for
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Symmetric Products and a Cartan-type formula for polyhedral products
A. Bahri, M. Bendersky, F. R. Cohen +1
We give a geometric method for determining the cohomology groups of a polyhedral product under suitable freeness conditions or with coefficients taken in a field. This is done by c…
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…
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…
A generalization of the Davis-Januszkiewicz construction and applications to toric manifolds and iterated polyhedral products
A. Bahri, M. Bendersky, F. R. Cohen +1
The fundamental Davis-Januszkiewicz construction of toric manifolds is reinterpreted in order to allow for generalization. Applications involve the simplicial wedge -constructio…
On the Rational Type 0f Moment Angle Complexes
A. Bahri, M. Bendersky, F. R. Cohen and +1
In this note it is shown that the moment angle complexes Z(K;(D^2,,S^1)) which are rationally elliptic are a product of odd spheres and a disk
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…
Operations on polyhedral products and a new topological construction of infinite families of toric manifolds
A. Bahri, M. Bendersky, F. R. Cohen +1
A combinatorial construction is used to analyze the properties of polyhedral products and generalized moment-angle complexes with respect to certain operations on CW pairs includin…
The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds
L. Astey, A. Bahri, M. Bendersky +6
This paper contains an explicit computation of the KO*-ring structure of an m-fold product of CP^{\infty}, the Davis-Januszkiewicz spaces and toric manifolds which have trivial Sq^…
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…
The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces
A. Bahri, M. Bendersky, F. R. Cohen +1
This article gives a natural decomposition of the suspension of generalized moment-angle complexes or {\it partial product spaces} which arise as {\it polyhedral product functors}…