Axiomatic homology and duality revisited
We associate to each homology theory in an elementary and canonical manner a tautological cohomology theory on Cartesian spaces such that the classical Alexander duality holds. The duality isomorphisms obtained from cap-products yield an isomorphism of cohomology theories. Guided by our methods we a...
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| FB/Einrichtung: | FB 10: Mathematik und Informatik |
| Dokumenttypen: | Artikel |
| Erscheinungsdatum: | 2013 |
| Publikation in MIAMI: | 05.05.2014 |
| Datum der letzten Änderung: | 27.07.2015 |
| Quelle: | Münster Journal of Mathematics, 6 (2013), S. 365-382 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-55309458011 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-55309458011 |
| Onlinezugriff: | MJM_2013_6_365-382.pdf |
We associate to each homology theory in an elementary and canonical manner a tautological cohomology theory on Cartesian spaces such that the classical Alexander duality holds. The duality isomorphisms obtained from cap-products yield an isomorphism of cohomology theories. Guided by our methods we also introduce the new category of dualizible maps.