Fibrewise injectivity in order and topology
نویسندگان
چکیده
منابع مشابه
Fibrewise injectivity and Kock-Zöberlein monads
Using Escardó-Flagg approach to injectivity via Kock-Zöberlein monads in T0 topological spaces [3], and Hofmann’s recent study of injectivity for spaces [4], we characterize continuous maps which are injective with respect to special classes of embeddings using convergence: see [1]. In fact, convergence has been shown to be very useful in the characterization of special classes of maps, like ef...
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The behavior of fibrewise localization and completion on the classifying space level is analyzed. The relationship of these constructions to fibrewise joins and smash products and to orientations of spherical fibrations is also analyzed. This theory is essential to validate Sullivan's proof of the Adams conjecture. In Sullivan's beautiful proof of the Adams conjecture [20], perhaps the crucial ...
متن کاملorder dense injectivity of $s$-posets
in this paper, the notion of injectivity with respect to order dense embeddings in the category of $s$-posets, posets with a monotone action of a pomonoid $s$ on them, is studied. we give a criterion, like the baer condition for injectivity of modules, or skornjakov criterion for injectivity of $s$-sets, for the order dense injectivity. also, we consider such injectivit...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2016
ISSN: 0166-8641
DOI: 10.1016/j.topol.2015.12.013