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nLab > Latest Changes: computational topology

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  1.  
    • CommentRowNumber1.
    • CommentAuthorTim_Porter
    • CommentTimeJan 27th 2013
    • (edited Jan 27th 2013)

    I have started an entry on computational topology partially to record some ideas from some books on that area that I am reading at the moment. There are also new entries on topological data analysis and sources in computational topology.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeJan 27th 2013

    There is no page computational topology when I just checked.

    • CommentRowNumber3.
    • CommentAuthorTim_Porter
    • CommentTimeJan 27th 2013
    • (edited Jan 27th 2013)

    OOPS! I forgot that one. The others are there! (Later edit: there is now.)

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeJan 27th 2013

    To be distinguished apparently from “Computable Topology”, as developed by Paul Taylor, Andrej Bauer, et al.

    • CommentRowNumber5.
    • CommentAuthorTim_Porter
    • CommentTimeJan 28th 2013

    The Wikipedia entry on computational topology (found by looking first at the one on computable topology) is strange as it mentions reference to computational homology and TDA but does not really discuss what has been happening recently. (There was even an article about Gunnar Carlsson’s company (http://www.ayasdi.com/company/). The entry on computable topology is also very confused until it gets into the meat with the Scott topology etc, which looks nice.

    I seem to remember talking to both Paul and Andrej about possible overlaps between the two areas, but cannot remember anything about what we said!

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2020

    added pointer to discussion of Cohomotopy-sets in computational topology:

    • Martin Čadek, Marek Krčál, Jiří Matoušek, Francis Sergeraert, Lukáš Vokřínek, Uli Wagner, Computing all maps into a sphere, Journal of the ACM, Volume 61 Issue 3, May 2014 Article No. 1 (arxiv:1105.6257)

    diff, v4, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeFeb 7th 2020
    • (edited Feb 7th 2020)

    added also this pointer:

    diff, v4, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2020

    added this pointer:

    diff, v5, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2020

    added also this pointer:

    diff, v5, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeApr 30th 2021

    I have expanded out the first bibitem to include more than the title:

    diff, v8, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeOct 30th 2022

    added pointer to

    and made “constructive algebraic topology” redirect to “computational topology”, just so that the link works for the time being

    diff, v11, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeAug 4th 2023

    added pointer to:

    diff, v16, current

1 to 12 of 12

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