Photo from wikipedia
In the realm of the convergence spaces, the generalisation of topological groups is the convergence groups, and the corresponding extension of the Pontryagin duality is the continuous duality. We prove… Click to show full abstract
In the realm of the convergence spaces, the generalisation of topological groups is the convergence groups, and the corresponding extension of the Pontryagin duality is the continuous duality. We prove that local quasi-convexity is a necessary condition for a convergence group to be creflexive. Further, we prove that every character group of a convergence group is locally quasi-convex. 2010 MSC: 43A40; 54A20; 54H11.
Keywords:
duality;
convergence;
locally quasi;
convergence groups;
quasi convex
Journal Title: Applied general topology
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Applied general topology
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!