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A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).

3 votes

When are the homology and cohomology Hopf algebras of topological groups equal?

Perhaps the following example can also be of some use. Consider the looped suspension of infinite-dimensional complex projective space, $\Omega\Sigma \,\mathbb{CP}^\infty$. By Bott-Samelson its homolo …
Michiel Hazewinkel's user avatar