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A tiny peculiar Fréchet space. (English) Zbl 0543.54021
The authors construct an example of a countable sequentially regular Fréchet space which fails to be regular (X is called sequentially regular) if for each $$f\in C(X) x_ n\to x\Leftrightarrow f(x_ n)\to f(x)$$.
Reviewer: A.I.Bashkirov

##### MSC:
 54D55 Sequential spaces 54G20 Counterexamples in general topology 54D10 Lower separation axioms ($$T_0$$–$$T_3$$, etc.)
##### Keywords:
countable sequentially regular Fréchet space
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##### References:
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