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Among the different topological spaces, there are some that do not satisfy the

first axiom of countability. Identify one of those spaces and show that it fails to satisfy the axiom.

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Defination .
A space X is
said to have countable
basis at a if
there is
a countable collection.
B of neighbourhoods of x such that each nbhd.
x contains
at least one of elements of B.

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