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Characterising Near Continuity Constructively
Author(s) -
Bridges Douglas,
Vîţă Luminiţa
Publication year - 2001
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/1521-3870(200111)47:4<535::aid-malq535>3.0.co;2-3
Subject(s) - mathematics , uniform continuity , metric space , absolute continuity , modulus of continuity , relation (database) , metric (unit) , continuity of care , pure mathematics , calculus (dental) , mathematical analysis , type (biology) , computer science , data mining , medicine , ecology , health care , operations management , dentistry , economics , biology , economic growth
The relation between near continuity and sequential continuity for mappings between metric spaces is explored constructively. It is also shown that the classical implications “near continuity implies sequential continuity” and “near continuity implies apart continuity” are essentially nonconstructive.