Let us suppose we are given a fiber bundle $(E,B,F,p)$ where all spaces involved are triangulable and compact. Assume we choose a triangulation for the base B. I believe it is possible to give E a simplicial complex structure in such a way that both the map $p \colon B \to B$ and the transition maps are simplicial. So we would have a notion of "simplicial fiber bundle". However, i would like to cite this result and I do not find it in the literature.

Could you give me a reference?

I want to work with fiber bundles in the category of finite simplicial complexes and simplicial maps between them.

Thanks in advance


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