Topology

Topology on a set X is map from X to a collection of subsets

• True

• False

A topology on a set cannot be a basis

• True

• False

Given a non-empty set X there are at least two topologies that can be defined on X

• True

• False

Topology is sometimes called as rubber-sheet geometry

• True

• False

There can be more than one basis for a topology

• True

• False

The elements of basis is called as open sets

• True

• False

Discrete topology is finer than indiscrete topology

• True

• False

All the topologies defined on a set are pairwise comparable with each other

• True

• False

Given a set and a topology on that set, any basis is a subbasis

• True

• False

The standard topology on R is finer than the lower limit topology

• True

• False