Topology Math GRE Prep | Best Book Intro Guide

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Discussion Overview

The discussion centers around finding suitable introductory resources for topology in preparation for the mathematics subject test of the GRE. Participants are seeking recommendations for books and specific sections to focus on, considering their limited prior exposure to the subject.

Discussion Character

  • Homework-related, Exploratory

Main Points Raised

  • One participant expresses the need for a stronger foundation in topology before taking the GRE and asks for book recommendations.
  • Another participant suggests "Munkres Topology" as a popular and standard introduction to Point Set Topology, recommending Part 1 for study.
  • A participant acknowledges the suggestion and indicates they will look into "Munkres Topology."
  • There is a note that "Munkres Topology" is widely available, likely in libraries.
  • One participant mentions having picked up "Munkres Topology" from their university library and expresses concern about the lack of solutions in the book, indicating they might seek help for specific questions.
  • A link to a resource with answers to questions is provided by another participant as a potential aid.
  • Another book, "Mathematical Physics" by Robert Geroch, is mentioned as a concise introduction to the subject.

Areas of Agreement / Disagreement

Participants generally agree on the recommendation of "Munkres Topology" as a suitable resource, but there are differing opinions on the adequacy of the book's solutions and the mention of alternative resources like Geroch's book. The discussion remains open regarding the best approach to studying topology for the GRE.

Contextual Notes

Some participants express concerns about the lack of solutions in recommended texts, which may affect their study process. There is also a reliance on external resources for additional support.

Who May Find This Useful

Students preparing for the GRE mathematics subject test, particularly those with limited background in topology, may find this discussion useful.

Jademonkey
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I won't be able to take a course in topology before I have to take the mathematics subject test of the GRE. I have the Princeton Review guide, but I'm looking for a little stronger of a foundation. Is there a good book introductory book for this purpose? If so, what sections should I read?
 
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Munkres Topology is a very popular, standard introduction to Point Set Topology. I would suggest reading Part 1 (Part 2 is Algebraic Topology).
 
Thanks a bunch! I'll look into that.
 
Cool. It is an extremely popular book so you should probably be able to find it in a library.
 
I'm actually in the math building of my university right now and just picked it up from the library across the hall :) It looks to be well written, but I'm a little worried about the lack of solutions in the book. I guess I can search for the specific questions or ask here.

Thanks again!
 
This should help:

http://www.math.lsu.edu/~lither/7510fall06/answers.pdf
 
Last edited by a moderator:
A very good and concise introduction is in "Mathematical Physics" by Robert Geroch.
 

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