Talk:T1 space

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Gathered together bits and pieces from other articles -- I know nothing about this subject, and hope that someone who knows something about this will write a better article here.


Comment on "These conditions are examples of separation axioms." How can a T1 or an R0 space be a condition? Surely they're mathematical objects?

Even then the sentence would not make sense ....

"These mathematical objects are examples of separation axioms." I think some work needs to be done on this sentence. User:David Martland

The original writer was mixing up the property of being T1, i.e., obeying the T1 axiom, with a T1 space, which is a space having the T1 property. I'll fix it - thanks! Chas zzz brown 09:29 Nov 20, 2002 (UTC)

(Question: given the above definitions, is any space with X = {x} and open sets {{},X}, a trivial T1 space? What about a T2 space?)

Yup, a space with a single point is T1 and T2. This is an example of a vacuous truth: in this space, it is impossible to pick two different points x and y. AxelBoldt 21:47 Nov 23, 2002 (UTC)


In the examples section, can't we choose another notation for the complements of finite sets? I kept switching "OA" to "A'" in my mind's eye.