Effective local connectivity properties

Details Effective local connectivity properties Effective local connectivity properties

2011-06-16

arxiv.org/abs/1106.3318v3

vol. 50, no. 4 (2012), pp. 621 - 640

Mathematics

Logic

Final version

Scientific paper

10.1007/s00224-011-9364-1

We investigate, and prove equivalent, effective versions of local
connectivity and uniformly local arcwise connectivity for connected and
computably compact subspaces of Euclidean space. We also prove that Euclidean
continua that are computably compact and effectively locally connected are
computably arcwise connected.

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