%0 Journal Article
%T Homology of polyhedra and quadrangulations of surfaces
%A Serge Lawrencenko
%J Mathematics
%D 2013
%I arXiv
%X A new formula is obtained in algebraic topology, in terms of Betti numbers, and a new method, called the spinal method, is suggested and developed for generating quadrangulations of closed orientable surfaces. Those surfaces arise as the thickenings of 1- and 2-dimensional curvilinear polyhedra, called spines, in Euclidean 3-space. By way of spinal manipulation, quadrangulations with given properties are constructed.
%U http://arxiv.org/abs/1308.2935v1