SOLUTION: Q: Construct two examples of the following: (a) Regular Topological space which is neither To nor Normal. (b) Normal Topological space which is neither To nor Regular. (c) To To

Question 1194883: Q: Construct two examples of the following:
(a) Regular Topological space which is neither To nor Normal.
(b) Normal Topological space which is neither To nor Regular.
(c) To Topological space which is neither Regular nor Normal.
(d) Topological space which is not To and also neither Regular nor Normal.
(e) Topological Space which is To, Regular and also Normal but not T¹.
(f) Regular To which is not Normal.
(g) Normal To which is not Regular.
(h) Regular as well as Normal but not To.
.
Note: Regular T¹ is T³ space or T³ Topological space and Normal T¹ is T⁴ space or T⁴ topological space.
In all examples the topological spaces should not be T¹.
.
Here we are using To space which means Kolmogorov Topological Space.
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
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