A Note on Open Extension of Maps
1972 ◽
Vol 24
(6)
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pp. 1139-1144
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In recent years there has been some interest in trying to improve the behaviour of maps by extending their domains (see Whyburn [10], Baur [3], Krolevec [8], Dickman [5], Franklin and Kohli [6]). It was shown in [6] that every map can be extended to an open map so that certain properties of the domain and range are preserved in the new domain. In [6] and [7] we also related the topological properties of the domain and range of the mapping with the new domain; also these results were then used to obtain analogues and improvements of recent theorems of Arhangelskii, Čoban, Hodel, Keesling, Nagami, Okuyama, and Proizvolov. In this note we give a method of unifying the domain and range of a mapping so as to yield a meaningful open extension.
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1974 ◽
Vol 32
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pp. 302-303
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1989 ◽
Vol 50
(7)
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pp. 725-731
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2020 ◽
Vol 16
(2)
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pp. 190-195
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2013 ◽
Vol 41
(2)
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pp. 548-553
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