A systematic approach maps any-dimensional invariant functions to a unique function on an infinite-dimensional limit space admitting a topology with compact sets where universality holds, with examples of non-universal architectures and fixes.
Specifically, whenevern⪯Nthere is an injective group homomorphismθN,n: Gn→GN with θi,i= idGi for alli∈N, θk,j◦θj,i=θk,i wheneveri⪯j⪯kinN
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Any-Dimensional Invariant Universality
A systematic approach maps any-dimensional invariant functions to a unique function on an infinite-dimensional limit space admitting a topology with compact sets where universality holds, with examples of non-universal architectures and fixes.