Duality formulations can be derived from a nonlinear primal optimization problem in several ways. One abstract theoretical concept presented by Johri is the framework of general dual problems. They provide the tightest of speciยฎc bounds on the primal optimum generated by dual subproblems which relax
The generalized dual Gottlieb sets
โ Scribed by Yeon Soo Yoon
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 98 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
โฆ Synopsis
We define and study a generalized dual Gottlieb set between the dual Gottlieb set and the homotopy set. We find some conditions for which two of them are equal and we also give an example such that none of them are equal. We can obtain a property of the generalized dual Gottlieb group about a homotopically trivial cofibration, which is a stronger dual result than Lee and Woo's. We can also obtain a generalization of Halbhavi and Varadarajan's result about extending the dual Gottlieb group.
๐ SIMILAR VOLUMES
The diamond group G is a solvable group, semi-direct product of R with a (2n + 1)-dimensional Heisenberg group H n . We consider this group as a first example of a semi-direct product with the form R N where N is nilpotent, connected and simply connected. Computing the moment sets for G, we prove t