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-categories 2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry 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 differential-topology digraphs duality elliptic-cohomology enriched fibration finite foundations functional-analysis functor galois-theory 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 manifolds mathematics measure-theory modal modal-logic model model-category-theory monads monoidal monoidal-category-theory morphism motives motivic-cohomology natural 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 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.
    • CommentAuthorMike Shulman
    • CommentTimeFeb 23rd 2012

    Created Gamma-space.

    • CommentRowNumber2.
    • CommentAuthorMatanP
    • CommentTimeFeb 25th 2012
    I don't feel comfortable enough to edit, but there are two references that fit here:

    "Categories and cohomology theories", Topology 13 - Segal - 1974

    "Homotopy theory of Γ-spaces, spectra, and bisimplicial sets”, Geometric applications of homotopy theory - Bousfield, Friedlander - 1977

    in the first, there are also "special delta spaces" that correspond to 1-fold loop spaces and in

    C. Balteanu, Z. Fiedorowicz, R. Schwanzl and R. Vogt, "Iterated
    monoidal categories", Advances in Mathematics 176 pp. 277–349
    (2003).

    there is the n-fold generalization of "special Delta spaces" which are n-simplicial spaces (i.e. functors X:(Delta^op)^n--->spaces) that satisfy the analogous Segal condition. These correspond to n-fold loop spaces if \pi_0 X(1,...,1) is a group.
    • CommentRowNumber3.
    • CommentAuthorTim_Porter
    • CommentTimeFeb 25th 2012
    • (edited Feb 25th 2012)

    Hi there Matan. Editing is easy! Open the page, go to Edit. (and if you want to add a reference see if that reference is somewhere else in the lab! That makes life easy if it .. copy from the source of that page into where you want the reference to go.)

    have a look at the source and … do the obvious things. If it goes wrong go back to the previous version and call for help!!!!!

    (Some seconds later: I was going to give you a hand but note that you are actually editing that page anyway….. )

    One point to add would be to make the names point to the relevant page entries, also any pages you know exist can be linked so G. Segal should work but did not (but I did a redirect).

    • CommentRowNumber4.
    • CommentAuthorjim_stasheff
    • CommentTimeFeb 25th 2012
    How about adding or pointing to Theta_n spaces/objects?
    • CommentRowNumber5.
    • CommentAuthorMatanP
    • CommentTimeFeb 25th 2012
    Hi Tim.
    Thanks for the welcoming. I'll try editing some more. I want to add a new entry on special delta spaces; how do I do it?
    BTW, do you know of a better name for special delta spaces?

    Jim: do you mean algebraic theories (e.g. Badzioch http://www.jstor.org/pss/3062135) or something else I'm not aware of?
    • CommentRowNumber6.
    • CommentAuthorTim_Porter
    • CommentTimeFeb 25th 2012
    • (edited Feb 25th 2012)

    I see you solved the mystery!!! My methods are either to put in the link in an existing (relevant) entry, or to search on the term and if it does not exist and is useful, the search page suggests that you create it.

    It is always better to search first (and with possible alternative titles) as that we we don’t get too many needs to merge entries. Clearly someone else may have used a slightly different term for something or it may be hidden in another entry. If a mention is hidden in another entry it is a good thing to go in to that and convert the term to a link.

    I wonder if jim is meaning Theta-space? They certainly look to be related but am not up on those as much as I should be.

    It would be good if you added a bit more about your research interests on your own page.

    • CommentRowNumber7.
    • CommentAuthorZhen Lin
    • CommentTimeDec 11th 2014

    The introduction seems to be misleading: a grouplike Γ\Gamma-space is an infinite loop space, but are Γ\Gamma-spaces automatically grouplike? It appears to me, for instance, that any commutative monoid gives rise to a Γ\Gamma-space.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeDec 13th 2014

    Thanks for the alert, I have fixed the wording.

    • CommentRowNumber9.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 1st 2020

    Redirects.

    diff, v18, current

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)