Slowly oscillating functions on semitopological semigroup
نویسندگان
1 Department of Mathematics, Faculty of Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran
2 Department of Mathematics, Faculty of Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran
3 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
doi
10.22075/ijnaa.2021.21051.2225چکیده
The slowly oscillating functions have been used by I. V. Protasov to study of the algebraic structure of the Stone-$\check{C}$esh compactification. M. Filali and P. Salmi developed the concept of slowly oscillating functions to arbitrary locally compact topological groups. In this paper, we study the structure of $Lmc$-compactification of a semitopological semigroup by the slowly oscillating functions. In fact, we develop the concept of slowly oscillating functions to semitopological semigroups.
