Mappings onto the plane

Abstract

Abstract. In this paper, we show that if X is a connected, locally connected, locally compact topological space and/is a 1-1 mapping of X onto E2, then/is a homeomorphism. Using this result, we obtain theorems concerning the compactness of certain mappings onto E2. Introduction.Consider a 1-1 mapping/of a topological space X onto En (Euclidean «-space).In