Please help me identify this topology book

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Discussion Overview

The discussion centers around identifying a specific advanced point-set topology textbook based on photocopied pages, as well as seeking recommendations for similar advanced-level topology texts. The scope includes both identification of a particular book and suggestions for alternative resources in point-set topology.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant seeks help identifying a topology textbook based on photocopied pages, noting its advanced content and publication timeframe.
  • Another participant requests recommendations for advanced point-set topology textbooks that cover topics not typically found in introductory texts.
  • A participant mentions issues accessing the provided link to the photocopied pages.
  • One participant claims to have identified the book as being by Cullen, published in 1968, and describes its rigorous nature and intended audience.
  • Another participant questions the suitability of older textbooks for beginners, suggesting that more recent publications might be preferable.

Areas of Agreement / Disagreement

Participants express differing views on the appropriateness of older versus newer topology textbooks for learners, indicating a lack of consensus on the best resources for studying advanced point-set topology.

Contextual Notes

The discussion reflects varying levels of familiarity with topology and differing preferences for textbook rigor and publication recency. There are no resolved mathematical claims or definitive recommendations.

Who May Find This Useful

This discussion may be useful for students and educators in mathematics, particularly those interested in advanced topology and seeking appropriate textbooks for study or reference.

mathboy
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I have photocopied pages of a advanced-looking point-set topology textbook, but I don't know the name of the book or the author. It has 427 pages (the last index page is p.427), and based on its references, it was written no earlier than 1966, and probably no later than 1975. I've attached a picture of two of its pages. Can someone identify it for me? I want to get the full book, but I can't remember where I got the photocopied pages from. The topics are point-set topology, and it has many advanced definitions and theorems not found in introductory topology textbooks.

http://img110.imageshack.us/img110/334/unknowntopologybookqr2.jpg
 
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If no one can identify the book, can someone tell me of a topology textbook (just point-set topology, not algebraic topology) that is of the same advanced level as the picture I showed in my first post? One that discusses many terms and theorems not found in introductory topology textbooks?
 
the link isn't working for me.
 
It's ok, I combed through every topology book in my university library and found the book. It is by Cullen, 1968, and I've ordered a copy. A review from amazon states how advanced it is compared to other point-set topology textbooks:

"Professor Cullen says in the preface that this book should be read by the advanced undergraduate or first-year graduate student, but this book in my opinion should only be read by a first- or second-year graduate student. The mathematics in this book is as rigourous as math can possibly get; the proofs are often quite long and sometimes difficult, and the concepts Professor Cullen tries to convey are sometimes very difficult to follow. If you like your math rigourous (trust me, there are people out there that like rigourous mathematics) and you have some backround in topology and real analysis, then this might be for you. But remember, this book is serious mathematics, and if you try to pick this book up with no backround then you'll get eaten alive."
 
If you are learning topology for the first time, wouldn't you recommend something a published a little more recently?
 

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