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BENEDICTtance less than 8ep from the point P, then X and P lie together in a connected sub-set of M every point of which is at a distance of less than e from the point P. The set M is said to be uniformly connected im kleinen if for every positive number e there exists a positive num- ber 68 such that if P1 and P2 are two points of M at a distance apart less than 58 then they lie together in a connected sub-set of M every point of which is at a distance of less than e from P1. Cf.
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Harris et al. (Sun,) studied this question.
www.synapsesocial.com/papers/69d841bf617ce96c42ae3648 — DOI: https://doi.org/10.1073/pnas.4.12.370
Jacqueline Harris
Fräncis G. Benedict
Proceedings of the National Academy of Sciences
Carnegie Institution for Science
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