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nLab > Latest Changes: homotopy theory and algebraic topology -- references

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 21st 2021

    following discussion here I am starting an entry with a bare list of references (sub-sectioned), to be !include-ed into the References sections of relevant entries (mainly at homotopy theory and at algebraic topology) for ease of updating and syncing these lists.

    The organization of the subsections and their items here needs work, this is just a start. Let’s work on it.

    I’ll just check now that I have all items copied, and then I will !include this entry here into homotopy theory and algebraic topology. It may best be viewed withing these entries, because there – but not here – will there be a table of contents showing the subsections here.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 21st 2021

    Just to say that this is not meant to be perfect in any way. I just stitched this together from the material we had in various entries. Let’s work on this entry here and imrprove it for organization and completeness.

    But – I suggest – let’s try to be have a comprehensive list of reference only regarding references that can be regarded as being on homotopy theory and/or algebraic proper, while on the topics of ∞\infty-category theory, homotopy type theory etc. this list here should just contain some basics.

    • CommentRowNumber3.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 21st 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2021

    Yes, let’s add all this! Thanks.

    Let’s just try to group the material in some helpful way. So far I have tried to group by “Textbooks” and “Lecture notes” etc, but as we add more it might make sense to further distinguish between “basic” and “advanced” or similar.

    But not to worry about that too much, as it can always be adjusted. If you could add the items from your list that would be great!

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2021

    have added these pointers:

    diff, v2, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeSep 22nd 2021

    added pointer to:

    diff, v3, current

    • CommentRowNumber7.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 24th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeSep 24th 2021

    Hi Théo,

    thanks. But did you mean to give me a link? If you don’t want to be adding to the nLab entry here yourself, maybe the easiest would be if you copy-and-paste whatever you have into the Sandbox here. Then we can see what to do with it.

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeSep 24th 2021

    Hi Théo,

    oh, now I see that you had sent me an email with an invite to your repository.

    Have now browsed around there a little. I find a list of links that open pdf-s with copies of books. Is that what you are pointing me to?

    Right, that’s a good list. But it seems some work is necessary to turn this into items usable in our entry here.

    • CommentRowNumber10.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 25th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeSep 25th 2021

    Okay, I see.

    I wouldn’t rush for automation here (but I am also not worried that it will be implemented soon…) since there is crucial semantic value in expert humans (us!) adding commentary, cross-links and organization to a list of references

    I suggest: Let’s keep your list of books in mind, but let’s proceed with adding references by hand, whenever we happen to need them, or whenever a particularly classical or otherwise noteworthy textbook or article seems to be missing in a list.

    • CommentRowNumber12.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 25th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeSep 25th 2021

    Sounds good. Thanks!

    • CommentRowNumber14.
    • CommentAuthorDELETED_USER_2018
    • CommentTimeSep 25th 2021
    • (edited Apr 11th 2023)

    [deleted]

    • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeSep 26th 2021

    added pointer to:

    diff, v4, current

    • CommentRowNumber16.
    • CommentAuthorUrs
    • CommentTimeSep 26th 2021

    added pointer to:

    diff, v5, current

    • CommentRowNumber17.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2021

    To the “Outlook”-section at the end, I have added pointer to:

    diff, v7, current

    • CommentRowNumber18.
    • CommentAuthorUrs
    • CommentTimeDec 25th 2021

    added pointer to:

    diff, v8, current

  19. copied references for formalized homotopy theory over from the HoTT wiki

    Anonymous

    diff, v9, current

    • CommentRowNumber20.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2022
    • (edited Jun 9th 2022)

    Wait, this doesn’t work well. Notice that the TOC-items which you just added are more than the entire rest of the list.

    But this list is for general texts on homotopy theory/algebraic topology. Individual results and topics must be listed elsewhere.

    What you are after here is instead something like:

    • CommentRowNumber21.
    • CommentAuthorUrs
    • CommentTimeJun 9th 2022

    I have removed the new addition here (left a pointer) and instead gave it its own new entry:

    and !include-ed this into the list of references at homotopy type theory (here)

    • CommentRowNumber22.
    • CommentAuthorUrs
    • CommentTimeJun 17th 2022
    • (edited Jun 17th 2022)

    added pointer to:

    diff, v12, current

    • CommentRowNumber23.
    • CommentAuthorUrs
    • CommentTimeJun 20th 2022
    • (edited Jun 20th 2022)

    added pointer to:

    • C. R. F. Maunder, Algebraic Topology, Cambridge University Press, Cambridge (1970, 1980) [[pdf]]

    diff, v13, current

    • CommentRowNumber24.
    • CommentAuthorUrs
    • CommentTimeNov 2nd 2022
    • (edited Nov 2nd 2022)

    added pointer to:

    diff, v16, current

    • CommentRowNumber25.
    • CommentAuthorUrs
    • CommentTimeJan 3rd 2023
    • (edited Jan 3rd 2023)

    added missing pointer to:

    • Kenneth S. Brown, Abstract Homotopy Theory and Generalized Sheaf Cohomology, Transactions of the American Mathematical Society 186 (1973) 419-458 [[jstor:1996573]].

    diff, v18, current

    • CommentRowNumber26.
    • CommentAuthorUrs
    • CommentTimeFeb 3rd 2023

    added pointer to:

    diff, v20, current

    • CommentRowNumber27.
    • CommentAuthorUrs
    • CommentTimeFeb 20th 2023
    • (edited Feb 20th 2023)

    added pointer to:

    diff, v21, current

    • CommentRowNumber28.
    • CommentAuthorUrs
    • CommentTimeFeb 20th 2023

    added pointer to:

    diff, v21, current

    • CommentRowNumber29.
    • CommentAuthorUrs
    • CommentTimeFeb 25th 2023

    added pointer to:

    diff, v22, current

    • CommentRowNumber30.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2023

    added pointer to:

    diff, v24, current

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