✍ Scribed by Akihiro Okuyama
No coin nor oath required. For personal study only.
In general topohgy a metric qlace is one 0% the most *important spar:e~I, and as it3 topological characterizati Smirnov's metrizatio:n theorem plays an important r&e. Th is as follows:
(Nali:tita [ 161, Smirnov [Xl] ). In orckr tk etrizable it is necessary and sufficient tha e; that is, X has a base which-is expressed able union of 1ocalEy finite subcollections.
ereafter, we assuaxe that all spaces are regular 7'r spaces unless s cified.
In view of the point that we consider generalizations of metric there may be several directions and as one of them it seems n.atur weaken the conception of a base dropping the openness OF its me
📜 SIMILAR VOLUMES
uced the notion of M-spaces in connection with the problem of cb cterizing a. space whose product. with any metric sparse is Iormal. S'nce then, man 'nteresling results have been obtained b \~r many matherr; aticians. e would hke to give a survey on these results. It is assumed that spxes are T1-sp