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 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 nforum 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 sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory 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).

nLab > Latest Changes: reflective subcategory

Bottom of Page

1 to 8 of 8

  1.  
    • CommentRowNumber1.
    • CommentAuthorTim_Porter
    • CommentTimeOct 24th 2012

    October 24, 2012 09:26:08 by Anonymous Coward (99.133.144.164) has added a comment questioning the validity of a sentence at reflective subcategory.

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeOct 24th 2012

    More comments on this.

    • CommentRowNumber3.
    • CommentAuthorYaron
    • CommentTimeOct 24th 2012

    Attempted to answer…

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 24th 2012
    • (edited Oct 24th 2012)

    Thanks, Yaron.

    But let’s not have discussion inside an entry. It’s hard to follow for those readers here who might want to follow and distracting for those readers of the entry who are looking for information.

    Instead I have turned the original example into what is now (Counter)Example 4 and made your comment be what is now Remark 3 right below it.

    I have slightly edited your comment. For instance where you said that this entry is about full subcategories only I replaced it with a pointer to what is currently Remark 1.

    Let’s have any further discussion here in the discussion forum and only move stable material into the entry.

    • CommentRowNumber5.
    • CommentAuthorYaron
    • CommentTimeOct 24th 2012

    Hi Urs – sure, I will follow these guidelines in the future.

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeOct 24th 2012

    I would be more inclined to say ’the non-full inclusion of unital rings into non-unital rings has a left adjoint, but we do not call it a reflective subcategory because it is not full.’ Anyone object?

    • CommentRowNumber7.
    • CommentAuthorTim_Porter
    • CommentTimeOct 24th 2012

    I like that wording.

    • CommentRowNumber8.
    • CommentAuthorMike Shulman
    • CommentTimeNov 3rd 2012

    Implemented.

1 to 8 of 8

  1.