Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1590 2022 2022 Imam Kadhum College, Iraq Abd Alrida Basheer An implicative BCI algebra is a non empty set X with a special element O and a binary operation * with many clear conditions.In this work, we study the topological space  and present some properties especially the compactness and connection. Also, we prove that it is a Hausdorff space and regular. 2023 2023 24 27 10.54216/GJMSA.030203 https://www.americaspg.com/articleinfo/33/show/1590