Dimension of stratifiable spaces

Abstract

We define a subclass, denoted by E M 3 E{M_3} , of the class of stratifiable spaces, and obtain several dimension theoretical results for E M 3 E{M_3} including the coincidence theorem for dim and Ind. The class E M 3 E{M_3} is countably productive, hereditary, preserved under closed maps and, furthermore, the largest subclass of stratifiable spaces in which a harmonious dimension theory can be established.