Purchase Solution

continuous function

Not what you're looking for?

Ask Custom Question

Topology- Compactness
Please do the problem #1. My textbook is Topology by James R. Munkres.
The following are the contents covered in class so far. Do not use any knowledge exceeding them.
(If you have more questions about my posting, communicate through the Message Center.)
Sep-08-09 Session 1 Metric spaces and continuous maps.
Sep-10-09 Session 2 Topological spaces and continuous maps.
Sep-15-09 Session 3 Examples of topologies.
Sep-17-09 Session 4 Closures, interiors, the Hausdorff axiom. Infinite products of spaces.
Sep-22-09 Session 5 The quotient topology. Surfaces.
Sep-24-09 Session 6 Connectedness and path connectedness.
Sep-29-09 Session 7 Compactness.
Oct-01-09 Session 8 Digression: knots, surfaces and all that

Purchase this Solution

Solution Summary

Assess as a continuous function. The expert examines compactness in topology.

Solution Preview

We consider any . Since is continuous, then for any , we can ...

Purchase this Solution

Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.