Working with subsets of R2 did not seem as interesting as was to study the topology of some families of them. This thesis presents a study of the topology of the space of closed subgroups of R2 additives is presented. We will be explicit functions that are homeomorphisms between them and certain families of spheres in various dimensions.
Trabajar con subgrupos de R2 no parecía ser tan interesante como resultó al estudiar la topología de algunas familias de ellos. En esta tesis se presenta un estudio acerca de la topología del espacio de subgrupos aditivos cerrados de R2. Daremos funciones explicitas que resultan ser homeomorfismos entre ciertas familias de ellos y esferas en varias dimensiones.
