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In this paper we give a brief introduction to criteria for metrisability of a manifold and to some aspects of non-metrisable manifolds. Bias towards work currently being done by the author and his colleagues at the University of Auckland will be very evident. Wishing Robion Kirby a happy sixtieth with many more to follow. AMS Classi cation 57N05, 57N15; 54E35

Manifolds at and beyond the limit of metrisability