RT journal article
T1 Chaos in Topological Modules
A1 García Pacheco, Francisco Javier
A2 Matemáticas
K1 topological module
K1 topological ring
K1 balanced set
K1 absorbing set
K1 closed unit neighbor- hood of zero
AB Chaotic and pathological phenomena in topological modules are studied in this manuscript. In particular, constructions of noncontinuous linear functionals are provided for a wide variety of topological modules. In addition, constructions of balanced and absorbing sets which are not neighborhoods of zero are also given in an extensive class of topological modules. Finally, we construct a linearly open set with empty interior in a large amount of topological modules. All these constructions are related to each other. Prior to developing all these results, we provide an axiomatization of the topological concept of limit by introducing the limit operators in a similar context as hull operators or closure operators are defined.
PB MDPI
SN 2075-1680
YR 2022
FD 2022-10
LK http://hdl.handle.net/10498/28544
UL http://hdl.handle.net/10498/28544
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026