A strong shape theory with S-duality
Volume 154 / 1997
Fundamenta Mathematicae 154 (1997), 37-56
DOI: 10.4064/fm-154-1-37-56
Abstract
If in the classical S-category $\mathfrak P, 1)$ continuous mappings are replaced by compact-open strong shape (= {coss}) morphisms (cf. §1 or [1], §2), and 2) $\wedge$-products are properly reinterpreted, then an S-duality theorem for arbitrary subsets $X ⊂ S^n$ (rather than for compact polyhedra) holds (Theorem 2.1).
