This paper aims to link topology and game theory by using definitions of π-pre-separation axioms on π-pre-topological spaces. In this paper, we introduce and investigate infinitely long games using the concept of separation axioms on π-pre-topological spaces, specifically π-pre-T0, π-pre-T1, and π-pre-T2. Winning and losing strategies for both players are studied with some examples. In addition, the effects of pre-open, surjective, injective, and pre-continuous functions on both players’ strategies in different kinds of games are also studied.
El Seidy, E., Radwan, A., Osman, H., & Tabarak, M. (2024). Alternating Repeated Games via π-Pre-Separation Axioms and Functions. Journal of the Egyptian Mathematical Society, 32(1), 83-100. doi: 10.21608/joems.2024.401440
MLA
Essam El Seidy; Abdelaziz E. Radwan; H. Saber Osman; M. E. Tabarak. "Alternating Repeated Games via π-Pre-Separation Axioms and Functions", Journal of the Egyptian Mathematical Society, 32, 1, 2024, 83-100. doi: 10.21608/joems.2024.401440
HARVARD
El Seidy, E., Radwan, A., Osman, H., Tabarak, M. (2024). 'Alternating Repeated Games via π-Pre-Separation Axioms and Functions', Journal of the Egyptian Mathematical Society, 32(1), pp. 83-100. doi: 10.21608/joems.2024.401440
VANCOUVER
El Seidy, E., Radwan, A., Osman, H., Tabarak, M. Alternating Repeated Games via π-Pre-Separation Axioms and Functions. Journal of the Egyptian Mathematical Society, 2024; 32(1): 83-100. doi: 10.21608/joems.2024.401440
)
