3 papers
math.AT2011
Graphs and the (co)homology of Lie algebras
Qibing Zheng
In this paper, we develop a diamond graph theory and apply the theory to the (co)homology of the Lie algebra generated by positive systems of the classical semi-simple Lie algebras…
math.AT2011
Simplicial Homeology and Homeotopy
Qibing Zheng, Feifei Fan
In this paper, we define homeology group, reduced homeology group, cohomeology group and reduced cohomeology group on finite simpicial complexes and prove that these groups are hom…
math.AT2011
A Homeomorphism Invariant of Polyhedra
Qibing Zheng
In this paper, we define a new bigraded L-homology on finite simplicial complexes and prove that L-homology is a homeomorphism invariant of polyhedra.