Answer for Munkres Topology Problem 17.18 - Share Your Solution!

In summary, The conversation is about sharing the answer for problem 17.18 in Munkres Intro Topology book. The person asking is looking for a computational answer without an in-depth explanation, but the policy is to show an attempt to solve the problem first. The person being asked is asking for a base of the open sets of the ordered square, and suggests checking for each point x whether every basic open set that contains x will intersect A.
  • #1
Fisicks
85
0
Would anyone care to share their answer for problem 17.18 in munkres intro topology book?
no need for indepth explanation, just the answer will work (computational problem).
 
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  • #2
Fisicks said:
Would anyone care to share their answer for problem 17.18 in munkres intro topology book?
no need for indepth explanation, just the answer will work (computational problem).
The policy here is that you have to show your attempt to solve the problem first.
 
  • #3
Come on, it's not so difficult. Can you give me a base of the open sets of the ordered square?

For A (and for all the rest), you'll need to check for each point x whether every basic open set that contains x, will intersect A.
 

What is Topology Munkres?

Topology Munkres is a textbook on general topology, written by James R. Munkres. It is commonly used as a reference in undergraduate and graduate courses in mathematics.

What topics are covered in Topology Munkres?

The textbook covers topics such as set theory, topological spaces, continuity, connectedness, compactness, separation axioms, and metric spaces. It also includes chapters on topics such as topological constructions, quotient spaces, and the fundamental group.

Is Topology Munkres a good book for beginners?

Topology Munkres is considered to be a good textbook for beginners in topology. It is written in a clear and concise manner, with many examples and exercises to help students understand the concepts.

What makes Topology Munkres a popular choice among mathematicians?

Topology Munkres is popular among mathematicians for its clear and rigorous treatment of the subject. It also covers a wide range of topics and is suitable for both undergraduate and graduate level courses.

Can Topology Munkres be used as a reference for research in topology?

While Topology Munkres is primarily a textbook, it can also serve as a useful reference for researchers in topology. It covers many fundamental concepts and results in topology and provides a solid foundation for further study and research.

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