Cut points in abcohesive, aposyndetic, and semi-locally connected spaces
In 1941, F. B. Jones introduced aposyndesis, which generalizes the concept of semi-local connectedness defined earlier by G. T. Whyburn (1942), in the study of continuum theory. Using Jones's idea, D. A. John (1993) defined abcohesiveness as a generalization of aposyndesis and studied the A-set...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202109197 |
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| author | David A. John Shing S. So |
| author_facet | David A. John Shing S. So |
| author_sort | David A. John |
| collection | DOAJ |
| description | In 1941, F. B. Jones introduced aposyndesis, which generalizes the concept of semi-local connectedness defined earlier by G. T. Whyburn (1942), in the study of continuum theory. Using Jones's idea, D. A. John (1993) defined abcohesiveness as a generalization of aposyndesis and studied the A-sets in abcohesive spaces. In this paper, some properties of abcohesive spaces are studied and a number of results by B. Lehman (1976) and Whyburn (1942, 1968) are generalized; sufficient conditions for the existence of two nodal sets are established as well. |
| format | Article |
| id | doaj-art-3ce7265ca591416d875de2aa85b9cdbb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3ce7265ca591416d875de2aa85b9cdbb2025-02-03T01:21:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01301271772510.1155/S0161171202109197Cut points in abcohesive, aposyndetic, and semi-locally connected spacesDavid A. John0Shing S. So1Missouri Western State College, Saint Joseph, MO 64507, USAMissouri Western State College, Saint Joseph, MO 64507, USAIn 1941, F. B. Jones introduced aposyndesis, which generalizes the concept of semi-local connectedness defined earlier by G. T. Whyburn (1942), in the study of continuum theory. Using Jones's idea, D. A. John (1993) defined abcohesiveness as a generalization of aposyndesis and studied the A-sets in abcohesive spaces. In this paper, some properties of abcohesive spaces are studied and a number of results by B. Lehman (1976) and Whyburn (1942, 1968) are generalized; sufficient conditions for the existence of two nodal sets are established as well.http://dx.doi.org/10.1155/S0161171202109197 |
| spellingShingle | David A. John Shing S. So Cut points in abcohesive, aposyndetic, and semi-locally connected spaces International Journal of Mathematics and Mathematical Sciences |
| title | Cut points in abcohesive, aposyndetic, and semi-locally connected spaces |
| title_full | Cut points in abcohesive, aposyndetic, and semi-locally connected spaces |
| title_fullStr | Cut points in abcohesive, aposyndetic, and semi-locally connected spaces |
| title_full_unstemmed | Cut points in abcohesive, aposyndetic, and semi-locally connected spaces |
| title_short | Cut points in abcohesive, aposyndetic, and semi-locally connected spaces |
| title_sort | cut points in abcohesive aposyndetic and semi locally connected spaces |
| url | http://dx.doi.org/10.1155/S0161171202109197 |
| work_keys_str_mv | AT davidajohn cutpointsinabcohesiveaposyndeticandsemilocallyconnectedspaces AT shingsso cutpointsinabcohesiveaposyndeticandsemilocallyconnectedspaces |