The sectional category of a map
| dc.creator | Arkowitz, Martin | |
| dc.creator | Strom, Jeffrey | |
| dc.date | 2004-03-23 | |
| dc.date.accessioned | 2026-07-07T05:06:40Z | |
| dc.date.available | 2026-07-07T05:06:40Z | |
| dc.description | We study a generalization of the Svarc genus of a fiber map. For an arbitrary collection E of spaces and a map f:X-->Y, we define a numerical invariant, the E-sectional category of f, in terms of open covers of Y. We obtain several basic features of E-sectional category, including those dealing with homotopy domination and homotopy pushouts. We then give three simple properties which characterize the E-sectional category. In the final section we obtain inequalities for the E-sectional category of a composition and inequalities relating the E-sectional category to the Fadell-Husseini category of a map and the Clapp-Puppe category of a map. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403387 | |
| dc.identifier | http://arxiv.org/abs/math/0403387 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70558 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55M30 (primary), 55P99 (secondary) | |
| dc.title | The sectional category of a map | |
| dc.type | text |