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Aposyndetic properties
of unicoherent continua
Donald Earl Bennett |
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Vol. 37 (1971), No. 3, 585–589
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Abstract |
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In the first part of this paper the structure of n-aposyndetic continua is studied. In particular, those continua which are n-aposyndetic but fail to be (n + 1)-aposyndetic are investigated. Unicoherence is shown to be a sufficient condition for an n-aposyndetic continuum to be (n + 1)-aposyndetic. In the final portion of the paper a stronger form of unicoherence is defined. As a point-wise property, aposyndesis and connected im kleinen are shown to be equivalent in continua with this property. |
Mathematical Subject Classification 2000
Primary: 54F15
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Milestones
Received: 21 September 1970
Published: 1 June 1971
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Authors |
| Donald Earl Bennett | |
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