Geodesic
A Note on Open Extension of Maps
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1139-1144

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Kohli, J. K. A Note on Open Extension of Maps. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1139-1144. doi: 10.4153/CJM-1972-121-x
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