@misc{10498/31449,
year = {2023},
month = {2},
url = {http://hdl.handle.net/10498/31449},
abstract = {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},
publisher = {MDPI},
keywords = {stereographic projection},
keywords = {strongly rotund point},
keywords = {topological module},
keywords = {topological ring},
title = {The Stereographic Projection in Topological Modules},
doi = {10.3390/axioms12020225},
author = {García Pacheco, Francisco Javier},
}