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401440

Alternating Repeated Games via π-Pre-Separation Axioms and Functions

Article

Last updated: 13 Jan 2025

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Abstract

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.

DOI

10.21608/joems.2024.401440

Keywords

Pre-topology, π-pre-topology, Separation axioms, Game theory

Authors

First Name

Essam

Last Name

El Seidy

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

Email

-

City

-

Orcid

-

First Name

Abdelaziz

Last Name

Radwan

MiddleName

E.

Affiliation

Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

Email

zezoradwan@yahoo.com

City

-

Orcid

0000-0002-6581-7789

First Name

H.

Last Name

Osman

MiddleName

Saber

Affiliation

Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

Email

-

City

-

Orcid

-

First Name

M.

Last Name

Tabarak

MiddleName

E.

Affiliation

Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt

Email

-

City

-

Orcid

-

Volume

32

Article Issue

1

Related Issue

50506

Issue Date

2024-03-01

Receive Date

2024-12-30

Publish Date

2024-03-01

Page Start

83

Page End

100

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 32_Issue 1_Pages 83-100.pdf

PDF . 397.2kB

Link

https://joems.journals.ekb.eg/article_401440.html

Detail API

http://journals.ekb.eg?_action=service&article_code=401440

Order

401,440

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Alternating Repeated Games via π-Pre-Separation Axioms and Functions

Details

Type

Article

Created At

13 Jan 2025