Talk:Niemytzki plane

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Merge talk[edit]

From what I can tell, the Nemytskii plane and the Moore plane are almost the same thing. There are subtle differences in the definitions, but the textbooks seem to conclude that they have the same properties (which I am reviewing now). English authors seem to prefer R.L. Moore, Russians prefer Nemytskii. At first glance, the Moore definition seems to be clearer/easier to work with. I may attempt a merge after finishing a review. Comments? linas 17:37, 23 November 2006 (UTC)

I do not see any differences, except in formulation. The Niemytzki article first says what the neighborhoods are, then describes them by a formula -- this can be seen as "more precise", or "more formal", or also "harder to read". The Moore article describes the very same neighborhoods.
I was not aware of the name "Moore plane".
--Aleph4 13:15, 1 December 2006 (UTC)