We study generalized symmetries in a simplified arena which the usual quantum field theories of physics are replaced with topological and smooth structure symmetry groups usually endowed is forgotten. Doing so allows many questions physical interest to be answered using tools homotopy theory. both global gauge symmetries, as well `t Hooft anomalies, we show fall into one two classes. Our approa...

in this study, we investigate the further properties of quasi irresolute topological groupsde ned in [20]. we show that if a group homomorphism f between quasi irresolute topologicalgroups is irresolute at eg, then f is irresolute on g. later we prove that in a semi-connectedquasi irresolute topological group (g; ; ), if v is any symmetric semi-open neighborhood ofeg, then g is generated by v...

In the present paper, we have studied the analogue of some continuous functions in generalized topological space and consequently their behavior in fine topological space (cf. [18]).