Purchase Solution

Continuous map

Not what you're looking for?

Ask Custom Question

Let f: X --> Y be a continuous map. Let A (SYMBOL) C.
Show that, if (FUNCTION1) is closed, then (FUNCTION2).

*(For complete problem, including proper citation of functions and symbols, please see attachment)

Purchase this Solution

Solution Summary

Let f: X --> Y be a continuous map. This is a proof if the function is closed.

Solution Preview

Please see the attachment.

Proof:
First, I claim that .
Since , then . From the condition, we know is closed, this means that . But ...

Purchase this Solution


Free BrainMass Quizzes
Solving quadratic inequalities

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

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.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability