RT journal article
T1 The Stereographic Projection in Topological Modules
A1 García Pacheco, Francisco Javier
A2 Matemáticas
K1 stereographic projection
K1 strongly rotund point
K1 topological module
K1 topological ring
AB The stereographic projection is constructed in topological modules. Let A be an additively symmetric closed subset of a topological R-module M such that (Formula presented.). If there exists a continuous functional (Formula presented.) in the dual module (Formula presented.), an invertible (Formula presented.) and an element a in the topological boundary (Formula presented.) of A in such a way that (Formula presented.), (Formula presented.), and (Formula presented.), then the following function (Formula presented.), from (Formula presented.) to (Formula presented.), is a well-defined stereographic projection (also continuous if multiplicative inversion is continuous on R). Finally, we provide sufficient conditions for the previous stereographic projection to become a homeomorphism
PB MDPI
SN 2075-1680
YR 2023
FD 2023-02-20
LK http://hdl.handle.net/10498/31449
UL http://hdl.handle.net/10498/31449
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026