Partially topological group action

Partially Ordered Topological Spaces

Partially continuous pretopological and topological operators for intuitionistic fuzzy sets

In this paper, pretopological and topological operators are introduced based on partially continuous linear transformations of the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalization of the topological operators for intuitionistic fuzzy sets.On the other hand it is a generalization of the fuzzy set pretopological operators introduced...

Lattice of compactifications of a topological group

We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$. The correspondence defines a contravariant functor from the category of topological groups to the category of complete lattices. Some properties of the compactification lattice of a topological ...

Learning Topological Maps from Sequential Observation and Action Data under Partially Observable Environment

A map is an abstract internal representation of an environment for a mobile robot, and how to learn it autonomously is one of the most fundamental issues in the research fields of intelligent robotics and artificial intelligence. In this paper, we propose a topological map learning method for mobile robots which constructs a POMDP-based discrete state transition model from time-series data of o...

Topological states in partially- -symmetric azimuthal potentials

1ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain 2Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region, 142190, Russia 3Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Campo Grande 2, Edifício C8, Lisb...