A strong shape theory with S-duality

Volume 154 / 1997

Friedrich W. Bauer 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).

Authors

  • Friedrich W. Bauer

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