The Limiter extends the reals to assign canonical limits to all sequences, depending only on cluster points and varying continuously with the cluster set.
Candelpergher, Ramanujan Summation of Divergent Series, Lecture Notes in Mathematics, vol
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Limiter Spaces: A Universal Extension for Limits of Real Sequences
The Limiter extends the reals to assign canonical limits to all sequences, depending only on cluster points and varying continuously with the cluster set.