The closed image of a hereditary M₁-space is M₁

Munehiko Itō

Vol. 113 (1984), No. 1, 85–91

DOI: 10.2140/pjm.1984.113.85

Abstract

We show that every closed image of a hereditary M₁-space is hereditarily M₁. This answers positively G. Gruenhage’s question.

Mathematical Subject Classification 2000

Primary: 54E20

Milestones

Received: 4 August 1982

Published: 1 July 1984