Purchase Solution

Connected point sets proof

Not what you're looking for?

Ask Custom Question

Prove whether the following is true or false. If it is false give a counter example.

If F is a collection, each element of which is a connected point set and each point set in F contains a limit point of every other point set in F, then UF is connected.

Purchase this Solution

Solution Summary

This solution contains a proof regarding connected point sets.

Solution Preview


Now suppose it is not true, that UF is not connected. Let C and D form a separation of UF. Choose a given set F_alpha from F. We know it is connected, so it either lies entirely within C or entirely within D. Without loss ...

Purchase this Solution

Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

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.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

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