I am looking for references which deal with the homotopy theory and homology theory of general topological groups, not necessarily compact, or anything. I am eyeing towards certain infinite-dimensional symmetry groups appearing in geometry.
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1$\begingroup$ You will probably get better answers if you ask about a specific infinite-dimensional symmetry group, e.g. see en.wikipedia.org/wiki/Kuiper%27s_theorem. $\endgroup$– Igor BelegradekCommented May 17 at 14:18
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