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The bipolar fuzzy theory is a very effective tool for addressing real life problems in various field such as disease diagnosis, spatial information, image processing and engineering etc. The novel concepts of bipolar fuzzy centred system and bipolar fuzzy centred texture di topological spaces are introduced. Then we established the significance of bipolar fuzzy centred texture compactness, bipolar fuzzy centred texture nearly compactness and discussed some interesting characterizations on it. Finally, defined the idea of bipolar fuzzy centred texture nearly stable and bipolar fuzzy centred texture nearly co stable and its properties are also studied.