Homework problems
Read the definition of the subspace topology in section 16.
Read about finding a basis of the subspace topology, given a basis of
the original topology (Lemma 16.1).
Recall the definitions, given in class, of the Moore plane, the
slotted plane and the radial plane. Recall the standard or metric
topology on the plane.
Compare these topologies.
- radial plane and standard plane
- slotted plane and standard plane
- Moore plane and subspace
of the standard plane
Look at some subspaces.
- subspaces of the Moore plane
- subspaces of the slotted plane
- subspaces of the radial plane