Timeline for Non standard/Advanced books in algebraic topology
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 30, 2021 at 9:58 | comment | added | Tommaso Rossi | @user43326 Whitehead and Switzer books are perfectly fine for me as they cover classical topics that one usually do not learn as an undergraduate. I don't Rudiyak's book, thank you for mentioning it, I'll take a look at it! | |
| Dec 30, 2021 at 9:51 | history | edited | Tommaso Rossi | CC BY-SA 4.0 |
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| Dec 30, 2021 at 9:37 | history | edited | Tommaso Rossi | CC BY-SA 4.0 |
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| Dec 30, 2021 at 8:41 | comment | added | user43326 | I guess Spanier is a standard textbook, and how about G.W.Whitehead or Switzer? (For me they are standard books like Bott-Tum by the way) Or something less known, Rudiyak? | |
| Dec 30, 2021 at 8:39 | comment | added | Tommaso Rossi | @RyanBudney, I aree with the fact that this question is partially "dangerous" because what advanced means is subjective. So let me try to reformulate the question. | |
| Dec 30, 2021 at 8:32 | comment | added | Tommaso Rossi | @DmitriPavlov, I put May's book as advanced because it covers also topics that one usually do not learn in a first topology class, I believe it is a great reference for an advanced student but maybe it is not the easiest book to read if you are a beginner (but of course this is an opinion). | |
| Dec 30, 2021 at 8:21 | comment | added | Tommaso Rossi | @D.-C.Cisinski, thank you professor for this book I didn't know! Yes, it absolutely fit well with my question. | |
| Dec 30, 2021 at 2:45 | comment | added | pinaki | Related: mathoverflow.net/q/18041 | |
| Dec 29, 2021 at 23:25 | review | Close votes | |||
| Jan 3, 2022 at 3:06 | |||||
| Dec 29, 2021 at 23:08 | comment | added | Ryan Budney | I would also list Bott and Tu as standard. It's one of the most read introductory books, especially by people who come at topology from an analytic perspective. I am concerned this question comes across more as an opinion piece about what words like "advanced" mean to the author. | |
| Dec 29, 2021 at 21:39 | comment | added | Greg Friedman | Kreck's Differential Algebraic Topology is a nonstandard approach to homology and cohomology of manifolds. | |
| Dec 29, 2021 at 19:51 | comment | added | D.-C. Cisinski | Does Differential cohomology, edited by Araminta Amabel, Arun Debray, and Peter Haine, fit in what you are asking for? See math.berkeley.edu/~phaine/files/diffcoh.pdf | |
| Dec 29, 2021 at 19:45 | comment | added | Dmitri Pavlov | May's Concise Course covers a similar selection of material to Hatcher's Algebraic Topology, why is it listed as “advanced”? Also, the material in Richter's book is perfectly standard homotopy theory, there is nothing “nonstandard” about it. | |
| Dec 29, 2021 at 13:47 | history | asked | Tommaso Rossi | CC BY-SA 4.0 |