Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limit limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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

  1. 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