6 citations · 13 across the 12 of their papers we have counts for
12 papers
The Cohomology Algebra of Polyhedral Product Objects
Qibing Zheng
In this paper, we compute the homology group and cohomology algebra of various polyhedral product objects uniformly from the point of view of diagonal tensor product. As applicatio…
The Complement of Polyhedral Product Spaces and the Dual Simplicial Complexes
Qibing Zheng
In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral product complexes. Then we compute the universal algebra…
Complement Spaces, Dual Complexes and Polyhedral Product Spaces
Qibing Zheng
In this paper, we define and prove basic properties of complement polyhedral product spaces, dual complexes and polyhedral join complexes. Then we compute the universal algebra of…
Simplicial (co)homeology groups: New P.L. homeomorphism invariants of polyhedra
Feifei Fan, Qibing Zheng
In this paper, we define (reduced) homeology groups and (reduced) cohomeology groups on finite simpicial complexes and prove that these groups are PL homeomorphsm invariants of pol…
A generalization of Kostant theorem to integral cohomology
Qibing Zheng
In this paper, we find weight decomposition and rank of a weight in the integral (co)homology of the positive system of a semi-simple Lie algebra over and prove that the (…
The cohomology algebra of polyhedral product spaces
Qibing Zheng
In this paper, we compute the cohomology ring of all homology split polyhedral product spaces and the cohomology algebra over a field of all polyhedral product spaces. As an applic…