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The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
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Homeomorphisms of $S^n\times S^1$
I am happy to say that you help me to find the positive answer on my question. Due to our references I found what I wanted. Namely, on page 71-72 in "A SURVEY OF MULTIDIMENSIONAL KNOTS" by M. KER …
22
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Homeomorphisms of $S^n\times S^1$
Is every homeomorphism $h$ of $S^n\times S^1$ with identity action in $\pi_1$ pseudo isotopic to a homeomorphism $g$ of $S^n\times S^1$ such that $g(S^n\times x)=S^n\times x$ for each $x\in S^1$? I wo …