Cut points in abcohesive, aposyndetic, and semi-locally connected spaces

David A. John and Shing S. So

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-9

Abstract:

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:545624

DOI: 10.1155/S0161171202109197

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