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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

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Homotopy groups of fiber products

Let $X, Y, B$ be three smooth manifolds, and $f : X\to B$, $g : Y\to B$ submersions. Then $X\times_BY$ exists. (1) If $X, Y, B$ have the homotopy type of a finite CW complex, does $X\times_BY$? (2) W …
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