paper

Homeomorphism criteria for the theory of grid generation

arXiv:1504.01087

Abstract

We give some general criteria of being a homeomorphism for continuous mappings of topological manifolds, as well as criteria of being a diffeomorphism for smooth mappings of smooth manifolds. As an illustration, we apply these criteria to the problems arising in two- and three-dimensional grid generation.

arXiv commentEnglish translation of the paper from Russian journal (http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=zvmmf&paperid=9717&option_lang=eng)