Not signed in (Sign In)

Start a new discussion

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 beauty bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality education elliptic-cohomology enriched fibration 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 lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology multicategories 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 science set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory string string-theory subobject superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory 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.
    • CommentAuthorUrs
    • CommentTimeFeb 12th 2012

    added a little bit of content to cohomology operation

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeApr 26th 2016
    • (edited Apr 26th 2016)

    This would presumably be the entry to mention

    • Daniel Grady, Hisham Sati, Primary operations in differential cohomology, (arXiv:1604.05988)

    where the differential cohomology diagram and cohesion are to be found on p.9.

    What does the ’primary’ part mean? WHat’s the relationship to primary homotopy operation?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 7th 2018

    added bibliograpy details for

    diff, v19, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2020
    • (edited Sep 2nd 2020)

    I have touched the references, added some publication data, some brief comment on content, and rearranged a little for a more systematic list.

    Intentionally misspelled (and un-linked) Martin Tangora’s name, because otherwise the entry wouldn’t save, due to an overreactive spam detector (see here)

    diff, v20, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 2nd 2020
    • (edited Sep 2nd 2020)

    Tim, you just tried (rev 21) to hyperlink the intentionally misspelled name (as per #4).

    That doesn’t make sense, does it? I have rolled back your edit. Let’s wait until the bug gets fixed, and then add in the correct hyperlink.

    • CommentRowNumber6.
    • CommentAuthorTim_Porter
    • CommentTimeSep 2nd 2020

    I was trying to understand what on earth was happening. It is quite mystifying why ’tango’ should be considered spam!!! As you said, we should wait until that bug is fixed.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJan 19th 2021
    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJan 19th 2021
    • (edited Jan 19th 2021)

    added more references:

    and tried to organize the list of references a little

    diff, v26, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJan 20th 2021

    I have added an Examples-section Cup-powers in multiplicative cohomology with details of how ααα\alpha \mapsto \alpha \cup \alpha is an (unstable) cohomology operation on any multiplicative cohomology theory; amplifying how, via the Yoneda lemma on the homotopy category, this comes down to there being smash-monoidal diagonals on suspension spectra.

    diff, v27, current

    • CommentRowNumber10.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 20th 2021
    • (edited Jan 20th 2021)

    Presumably you don’t want that first ’op’ in

    Ho(PointedTopologicalSpaces) opFunctors(Ho(PointedTopologicalSpaces) op,Set) Ho \big( PointedTopologicalSpaces \big)^{op} \;\overset{ \;\; \;\; }{\hookrightarrow}\; Functors \Big( Ho \big( PointedTopologicalSpaces \big)^{op} , Set \Big)
    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeJan 20th 2021

    Thanks! Fixed now.

    diff, v30, current

    • CommentRowNumber12.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 11th 2021

    Came across this MO answer by Neil Strickland on Freyd’s approach to higher cohomological operations. Anything useful to extract?

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)