prove-that-X-R-e-is-a-second-topology-space-e-is-Euclidian-topology-on-R-Hint-B-r-1-n-r-1-n-r-Q-n-N-is-a-base-for-e-

Question Number 140407 by mnjuly1970 last updated on 07/May/21

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} \dots . .