WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Comparison of Several Topologies Generated by the Convergence
Authors: , , , ,
Abstract: This paper studies the construction of three functional topologies in $$Y^X$$ production spaces. Their topological bases have been found and compared between them. An important place is a comparison with well-known topologies such as uniform, point, and open compact convergence. The convergences used are uniform local convergence, strongly uniformed local convergence, and the convergence known as α-convergence.