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Injectivity and the fibrewise way-below relation

Using results of Escardó-Flagg [1] and Hofmann [2], we characterize continuous maps which are injective with respect to special classes of embeddings. These characterizations are based on a fibrewise way-below relation which generalizes the one used by Richter in his characterization of fibrewise exponentiability [3].

(Joint work with Francesca Cagliari and Sandra Mantovani.)

[1] M. Escardó, R. Flagg, Semantic domains, injective spaces and monads, Electr. Notes in Theor. Comp. Science 20, electronic paper 15 (1999).

[2] D. Hofmann, A four for the price of one duality principle for distributive topological spaces, preprint, arXiv:math.GN/1102.2605.

[3] G. Richter, Exponentiability for maps means fibrewise core-compactness, J. Pure Appl. Algebra 187 (2004), 295-303.

Date:  2011-06-28
Start Time:   15:30
Speaker:  Maria Manuel Clementino (Mat.FCTUC/CMUC)
Institution:  Mat. FCTUC/CMUC
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
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