Willard's General Topology vs Dugundji's Topology

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SUMMARY

This discussion centers on the comparison between Willard's "General Topology" and Dugundji's "Topology" for studying point-set topology. The participant has a background in topology from Munkres' book and seeks a comprehensive resource for further study. While Willard's text is noted for covering less algebraic topology, it is deemed suitable for the participant's goals, as they plan to explore algebraic topology subsequently. The mention of Ryszard Engelking's "General Topology" indicates a preference for thorough and rigorous texts in the field.

PREREQUISITES
  • Understanding of basic topology concepts from Munkres' "Topology"
  • Familiarity with point-set topology terminology
  • Mathematical maturity to engage with advanced texts
  • Awareness of algebraic topology fundamentals
NEXT STEPS
  • Read Willard's "General Topology" for a foundational understanding of point-set topology
  • Explore Dugundji's "Topology" for a different perspective on the same concepts
  • Study Ryszard Engelking's "General Topology" for comprehensive coverage
  • Investigate algebraic topology resources after mastering point-set topology
USEFUL FOR

Mathematics students, educators, and anyone seeking to deepen their understanding of point-set topology through rigorous texts.

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Hello, I have read a fair chunk of Munkres' Topology book and took a short introductory course during undergraduate, but I would like to learn point-set topology a little better. I have quite a bit of mathematical maturity, so that isn't an issue for me. I had a larger list of potential books to use, but I narrowed it down to Willard's General Topology and Dugundji's Topology. I was wondering if anyone here has any experience with either one or both of these books, and can provide insight as to how they compare. It would be nice to have a book that covers as much as possible. I am aware that Willard covers less algebraic topology, but that in particular is fine since I am planning on reading some algebraic topology books afterwards anyways (I recognize I may be able to learn algebraic topology right now, but I am still very much interested in point-set topology). Can anyone here help? Thanks in advance for any response.
 
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I like Ryszard Engelking General Topology
 
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