
Let Y ↪ Z π → X Y\hookrightarrow Z\underrightarrow \pi X be a locally trivial fiber bundle in the category of oriented topological manifolds. It is shown that if the identity component of the structure group G G has finite index, then (signature of Z Z )=(signature of X X ) ◼ \blacksquare (signature of Y Y ).
Characteristic classes and numbers in differential topology, Fiber bundles in algebraic topology
Characteristic classes and numbers in differential topology, Fiber bundles in algebraic topology
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