Why Does Munkres Use 3 Delta Instead of Delta in Exercise 22.12?

In summary, Munkres Exercise 22.12 is a commonly used exercise in topology courses that tests the understanding of connectedness and compactness in topological spaces. It is considered a challenging exercise and can be solved using different methods. To prepare for it, one should have a solid understanding of topology and practice solving similar exercises.
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ehrenfest
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[SOLVED] Munkres Exercise 22.12

Homework Statement


Please stop reading unless you have Munkres topology textbook.
Why does Munkres use [tex]3 \delta [/tex] instead of [tex]\delta[/tex] in part b? I get that replacing the [tex]3 \delta[/tex] by [tex]\delta[/tex] works fine.

Homework Equations


The Attempt at a Solution

 
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  • #2
\delta does seem to work fine...
 

1. What is Munkres Exercise 22.12?

Munkres Exercise 22.12 is a problem from the textbook "Topology" by James Munkres. It is a commonly used exercise in topology courses and covers the concept of connectedness and compactness.

2. What is the purpose of Munkres Exercise 22.12?

The purpose of Munkres Exercise 22.12 is to test the understanding of connectedness and compactness in topological spaces. It also helps students practice their problem-solving skills and apply these concepts to different scenarios.

3. How difficult is Munkres Exercise 22.12?

The difficulty of Munkres Exercise 22.12 can vary depending on the individual's understanding of topology and problem-solving abilities. However, it is considered a challenging exercise and may require some time and effort to solve.

4. Can Munkres Exercise 22.12 be solved using different methods?

Yes, there are multiple ways to approach and solve Munkres Exercise 22.12. Some methods may be more efficient or easier to understand, but ultimately, the goal is to arrive at the correct solution using any valid method.

5. How can one prepare for Munkres Exercise 22.12?

To prepare for Munkres Exercise 22.12, it is recommended to have a solid understanding of topology and the concepts of connectedness and compactness. Practice solving similar exercises and work through examples in the textbook to strengthen problem-solving skills.

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