Geodesic
Connected Maps and Essentially Connected Spaces
Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 190-194

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

The paper discusses some consequences of weak monotonicity for connected maps in relation to essential connectedness of a space. The first main result gives conditions under which the image by a connected map of an essentially connected space is essentially connected. The second is that, for a connected mapping of a connected, 1 .c. space to a WLOTS-wise and essentially connected space, w-monotonicity implies monotonicity. The remainder of the paper discusses continuity properties of connected, w-monotone mappings with WLOTS-wise and essentially connected range.
DOI : 10.4153/CMB-1985-020-6
Mots-clés : 54C08, 54D05, 54A10, 54C05, 54C10, 54F05 
Nishiura, Eizo. Connected Maps and Essentially Connected Spaces. Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 190-194. doi: 10.4153/CMB-1985-020-6
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