A functional S-dual in a strong shape category
Bauer, Friedrich
Fundamenta Mathematicae, Tome 154 (1997), p. 261-274 / Harvested from The Polish Digital Mathematics Library
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In the S-category P (with compact-open strong shape mappings, cf. §1, instead of continuous mappings, and arbitrary finite-dimensional separable metrizable spaces instead of finite polyhedra) there exists according to [1], [2] an S-duality. The S-dual DX,X=(X,n)∈P, turns out to be of the same weak homotopy type as an appropriately defined functional dual (S0)X¯ (Corollary 4.9). Sometimes the functional object XY¯ is of the same weak homotopy type as the “real” function space XY (§5).

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:212237 
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Bauer, Friedrich. A functional S-dual in a strong shape category. Fundamenta Mathematicae, Tome 154 (1997) pp. 261-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv154i3p261bwm/

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