Share
Explore BrainMass

Topological Spaces and Continuity

Please see the attached file for the fully formatted problems.

Let be a real valued function on a topological space .

Show that is continuous if and only if for each real number the set and
are open.

Show that is continuous if and only if for each real number the set is
open and is closed.

Attachments

Solution Summary

Topological spaces and continuity are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

$2.19