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.
    • CommentAuthorporton
    • CommentTimeOct 27th 2013

    I have constructed products and coproducts, equalizers and coequalizers in my categories Fcd and Rld (continuous maps between endofuncoids and endoreloids). Thus these categories are complete and cocomplete. It is interesting that these (co)limits are presented with algebraic formulas.

    Whether they are cartesian closed is yet an open problem. Please help me to solve it.

    The above was extracted from my blog

    My research (and my book, for now available for free download) is presented at this Web site.

    nLab participants, should I further notify you about my progress in applying category theory to my general topology research, or refrain from posting here too much? You also can subscribe to my blog.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeOct 28th 2013

    The general feeling seems to be this: we’d be glad to update the entry on funcoids/reloids if you prove that the category of endoreloids (or whatever the case may be) is cartesian closed, as this is one benchmark for a category of “spaces” to warrant consideration as being “convenient” (in a technical sense described at convenient category of topological spaces). But otherwise the nLab is not interested in a subscription or piecemeal updates on your research. Individual members may subscribe to your blog if they wish.

    Speaking only for myself: at one time I vaguely suggested that the category of endoreloids might form a quasitopos, at least if this category behaves anything like the category of endorelations on sets (which, under the guise of ’user43208’, I indicated was the case in one of my answers to you at Math StackExchange). But at present my difficulty is that I find reloids opaque, and I have no intuition for them or what possible advantage they offer over other frameworks for topology, nor can I see why I should bother learning about them, and so I cannot comment further on this.