Exponential Law for Mappings on Sequentially Locally Convex Topological Vector Spaces and Manifolds
Abstract
The exponential law، which is an important tool in modern topology and differential calculus, establishes a fundamental isomorphism between function spaces over product domains and iterated mapping spaces. This work studies this principle on the context of sequentially locally convex topological vector spaces and manifolds with rough boundaries. We demonstrate that for a sequentially compact manifold N 2 , the map Φ : C r , k ( N 1 x N 2 , E ) → C r ( N 1 , C k ( N 2 , E ) ) is a homeomorphism.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Advanced Banach Space Theory
Functional Equations Stability Results
Publication details
- Journal / source
- WSEAS TRANSACTIONS ON MATHEMATICS
- Publisher
- World Scientific and Engineering Academy and Society (WSEAS)
- Volume
- 25
- Pages
- 1–1
- Publication date
- 2 January 2026
- Language
- EN