Fibrewise multi-topological spaces
fibrewise upper topological space
fibrewise lower topological space
fibrewise
multi-topological spaces
fibrewise upper locally sliceable
We define and study new ideas of fibrewise topological space on D namely fibrewise multi-topological space on D. We also submit the relevance of fibrewise closed and open topological space on D. Also fibrewise multi-locally sliceable and fibrewise multi-locally section able multi-topological space on D. Furthermore, we propose and prove a number of statements about these ideas.