2 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
Atoroidal manifolds in small covers
Lisu Wu
We show that a small cover of dimension is atorodal if and only if there is no -belt in the corresponding simple polytope.
Fundamental groups of small covers revisited
Lisu Wu, Li Yu
We study the topology of small covers from their fundamental groups. We find a way to obtain explicit presentations of the fundamental group of a small cover. Then we use these pre…