| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8903972 | Topology and its Applications | 2018 | 11 Pages |
Abstract
In this paper, we introduce the operator topology for the set of all continuous homomorphisms between two topological modules, and discuss the duality of topological modules over an admissible normed ring R (see Definition 2.1). We show that the dual functor B(â,R) defined on the category of locally bounded R-modules is topologically left exact. Moreover, if R is complete, and the modules are extendible, the dual functor is topologically exact.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Hailan Liang, Shu-Qi Huang,