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  1. This is an article about the category of simplicial objects of the category of filters on sets, with a list of examples.

    Anonymous

    v1, current

  2. This is an article about the category of simplicial objects of the category of filters on sets, with a list of examples.

    Anonymous

    v1, current

  3. This is an article about the category of simplicial objects of the category of filters on sets, with a list of examples.

    Anonymous

    v1, current

  4. The page defines the category of simplicial objects of the category of filters on sets. The category is flexible enough to formulate categorically a number of standard basic elementary definitions in various fields, e.g. in analysis, limit, (uniform) continuity and convergence, equicontinuity of sequences of functions; in algebraic topology, being locally trivial and geometric realisation; in geometry, quasi-isomorphism; in model theory, stability and simplicity of a theory.

    Anonymous

    diff, v3, current

  5. The page defines the category of simplicial objects of the category of filters on sets. The category is flexible enough to formulate categorically a number of standard basic elementary definitions in various fields, e.g. in analysis, limit, (uniform) continuity and convergence, equicontinuity of sequences of functions; in algebraic topology, being locally trivial and geometric realisation; in geometry, quasi-isomorphism; in model theory, stability and simplicity of a theory.

    Anonymous

    diff, v3, current

  6. added minor clarifications in the proof of characterisation of simple theories

    Anonymous

    diff, v5, current

  7. added minor clarifications in the proof of characterisation of simple theories

    Anonymous

    diff, v5, current

  8. added a preliminary category-theoretic reformulation of Shelah’s dividing lines NOP, NSOP, NSOPn, and NFCP

    Anonymous

    diff, v14, current

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