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nLab > Latest Changes: CW complex

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  1.  
    • CommentRowNumber1.
    • CommentAuthorTim_Porter
    • CommentTimeSep 17th 2018
    • (edited Sep 17th 2018)

    I have added in references to Whitehead’s address ’delivered before the Princeton Meeting of the AM Society on November 2, 1946’ that is ‘combinatorial homotopy 1’.

    diff, v63, current

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeSep 17th 2018

    We don’t seem to have an entry for ‘regular CW-complex’. Would a separate entry be better than simply adding a section into CW-complex?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 24th 2020

    Added cell structure of K-projective space to the list of examples.

    diff, v72, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 27th 2021

    Added missing cross-link with cellular approximation theorem.

    diff, v74, current

    • CommentRowNumber5.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 1st 2021

    I edited

    The geometric realization of any locally finite simplicial set is a CW-complex (Milnor 57).

    to remove the phrase “locally finite”, since that is only mentioned in Milnor 57 in relation to preservation of products by geometric realisation, and really only has to do with the behaviour of CW-complexes under products.

    diff, v75, current

    • CommentRowNumber6.
    • CommentAuthorDavidRoberts
    • CommentTimeFeb 1st 2021

    Updated broken pdf reference and gave doi link in

    diff, v75, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeSep 4th 2021
    • (edited Sep 4th 2021)

    am adding pointer to:

    • Andrew Brooke-Taylor, Products of CW complexes – the full story, 2017 (pdf)

    and will try to boost our corresponding Prop. (here) a little

    diff, v77, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeOct 1st 2021

    I have merged the puny Properties-subsection “Local contractibility” with “Compactness properties” to “Topological properties” (now here)

    and then I added the statement that CW-complexes are not just compactly generated, but even Delta-generated.

    diff, v82, current

  9. it should be n_i instead of n when attaching many cells at once.

    Ali Hamad

    diff, v86, current

    • CommentRowNumber10.
    • CommentAuthorFernandoChu
    • CommentTimeFeb 4th 2024

    Silly nitpick, the current description in 2.6. for CW complexes doesn’t allow for attaching 0-cells.

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeFeb 5th 2024

    Thanks. I’ve now fixed it.

    diff, v87, current

1 to 11 of 11

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