Titlebook: Categorical Topology; Proceedings of the L Eraldo Giuli Conference proceedings 1996 Kluwer Academic Publishers 1996 Category theory.Compact

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Concrete Categories Are Concretely Equivalent iff Their Uniquely Transportable Modifications Are StA proof of the statement in the title is given.

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Dold Type Theorems in Cubical Homotopy Theory,It is shown how a generalised comparison theorem for topological spaces under a fixed space . and over a fixed space . due to the third author can be transferred to cubical homotopy theory.

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A Topological Banach Space Model of Linear Logic,We will show that the category . of topological Banach balls (introduced by M. Barr [1] - [3]) is a model of the full linear logic. The cotripel ! on . is constructed from the adjointness between . and the cartesian closed category of Hausdorff topological spaces and k-continuous maps.

Jubilation

Disconnectednesses: Two Examples,We define the .. property for objects in topological categories, and prove that in a topological category the full subcategory of .. objects is a disconnectedness. We then characterize the .. objects in the categories Funsp and BiTop. In addition, we investigate disconnectednesses and .-regular morphisms in these categories.

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