LAUSR

Abstract Let Y be an ordered topological vector space with a positive interior point e. Motivated by the Minkowski functional p e , we introduce the function q e on the interior int Y Y + of the positive cone of Y. The function q e plays a role for evaluating a ‘reverse gauge’ of the Minkowski functional p e on the restricted space int Y Y + . We also apply the function q e for giving complete proof of the recent results [7] by Jin, Xie and Yue on monotonically countably paracompact spaces. New characterizations by vector-valued continuous maps are also given for stratifiable spaces and monotone cb-spaces, the latter provides a positive answer to a question posed in [12] by the author.