Find a topology with the following characteristics.
i. The sequence (1/n) converges to 0.
ii. The sequence (1/n) does not converge to any point.
iii. The sequence (1/n) converges to the number 1 only.
iv. The sequence (1/n) converges to every real number.

Question

Find a topology with the following characteristics.
i. The sequence (1/n) converges to 0.
ii. The sequence (1/n) does not converge to any point.
iii. The sequence (1/n) converges to the number 1 only.
iv. The sequence (1/n) converges to every real number.

Find a topology with the following characteristics.

i. The sequence (1/n) converges to 0.

ii. The sequence (1/n) does not converge to any point.

iii. The sequence (1/n) converges to the number 1 only.

iv. The sequence (1/n) converges to every real number.

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Find a topology with the following characteristics. i. The sequence (1/n) converges to 0. ii. The sequence (1/n) does not converge to any point. iii. The sequence (1/n) converges to the number 1 only. iv. The sequence (1/n) converges to every real number.