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.
Doris Doda, Elfrida Dishmema, Agron Tato, Jonida Kapxhiu, Moana Gorezi, "Comparison of Several Topologies Generated by the Convergence," WSEAS Transactions on Mathematics, vol. 22, pp. 109-113, 2023, DOI:10.37394/23206.2023.22.13
Doris Doda, Elfrida Dishmema, Agron Tato, Jonida Kapxhiu, Moana Gorezi. Comparison of Several Topologies Generated by the Convergence.
WSEAS Transactions on Mathematics. 2023;22:109-113. 10.37394/23206.2023.22.13