- Geometry and Topology
Topological Spaces and Continuity
This content was STOLEN from BrainMass.com - View the original, and get the solution, here!
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
Show that is continuous if and only if for each real number the set is
© BrainMass Inc. brainmass.com September 21, 2018, 5:48 am ad1c9bdddf - https://brainmass.com/math/geometry-and-topology/topological-spaces-continuity-164576
open and is closed.
Topological spaces and continuity are investigated. The solution is detailed and well presented.