2 papers
math.AT2026
Weighted Homology and Cohomology of Weighted Polyhedra
Yin Wei, Lisu Wu, Li Yu
We define the notion of weighted polyhedron which can be thought of as the geometric realization of a weighted simplicial complex introduced by Dawson. Moreover, we will define a w…
math.AT2021
Weighted homology theory of orbifolds and Weighted Polyhedra
Yin Wei, Lisu Wu, Li Yu
We introduce two new homology theories of orbifolds from some special type of triangulations adapted to an orbifold, called AW-homology and DW-homology. The main idea in the defini…