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 Sep12 accepted Series expansion of incomplete gamma function ratio Sep10 asked Series expansion of incomplete gamma function ratio Jul2 awarded Curious Jun5 comment Is this subset of a finite metric space already named? Apologies for the confusion. I agree that there could in general be more than one $S_k$ satisfying my requirement but was wondering if there's a generic term for them and in particular what properties they have e.g. how small they can be (although your discrete metric example suggests that answer is $1$ for $k=1$). Jun5 asked Is this subset of a finite metric space already named? Apr9 accepted Taking Limits with Binomial Coefficients Apr9 revised Taking Limits with Binomial Coefficients Corrected question to refer to asymptotics rather than limits. Apr9 asked Taking Limits with Binomial Coefficients Feb12 awarded Informed Feb12 asked Bounding one binomial coefficient with another Nov29 accepted Unitary map between sets of vectors Nov27 comment Unitary map between sets of vectors @MhenniBenghorbal Is that equivalent to what I said about the pairwise inner products being equal? i.e. the structure of the sets remains unchanged or am I missing the point? Nov27 asked Unitary map between sets of vectors Mar4 awarded Supporter Mar4 accepted Rank of matrix products Mar4 comment Rank of matrix products @DonAntonio I probably haven't been accurate in my terminology but I mean something like: Let $k_1$, $k_2$ and $k_3$ be vectors in the respective kernels, then these vectors are linearly independent. Mar4 comment Rank of matrix products So my thoughts so far is that for this to be true $V_1$ should have two independent vectors in it's kernel. The kernel of $A_1$ is certainly one of these and something like $A_1^{-1}ker(A_2)$ would be the other but it's not clear to me that it's possible to use the inverse of $A_1$ in the definition seeing as $A_1$ is by definition singular. Does that make sense? Mar4 asked Rank of matrix products Jan28 awarded Editor Jan28 revised Centre of a spherical triangle added 119 characters in body