Topology quiz II 2024

In which of the following set order topology is not same as discrete topology

• True

• False

• True

• False

• exactly one point

• at most one point

• at least one point

• at least two points

• f and f^-1 are continuous

• f is 1-1; f and f^-1 are continuous

• f is onto; f and f^-1 are continuous

• f is 1-1; f is onto; f and f^-1 are continuous

If f is homeomorphism, then restricting the range of f is homeomorphism.

• True

• false

Restricting the domain of the continuous function is continuous.

• True

• False