Chaos in Topological Modules

Chaotic and pathological phenomena in topological modules are studied this manuscript. In particular, constructions of noncontinuous linear functionals provided for a wide variety modules. addition, balanced absorbing sets which not neighborhoods zero also given an extensive class Finally, we construct linearly open set with empty interior large amount All these related to each other. Prior developing all results, provide axiomatization the concept limit by introducing operators similar context as hull or closure defined.