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Question Number 140407 by mnjuly1970 last updated on 07/May/21
$prove that ⟨ X:=R , τ_e ⟩ is a second topology space . τ_e is Euclidian topology on R. Hint :: B= { (r−(1/n) ,r+(1/n))∣ r∈Q , n∈N} is a base for τ_(e ) .....$
$p r o v e t h a t ⟨ X := R, τ_{e} ⟩ i s$ $a s e c o n d t o p o l o g y s p a c e .$ $τ_{e} i s E u c l i d i a n t o p o l o g y o n R .$ $H i n t :: B = {(r - \frac{1}{n}, r + \frac{1}{n}) ∣ r \in Q, n \in N}$ $i s a b a s e f o r τ_{e} . . . . .$
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