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

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DOI

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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     author = {Nishiura, Eizo},
     title = {Connected {Maps} and {Essentially} {Connected} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {190--194},
     year = {1985},
     volume = {28},
     number = {2},
     doi = {10.4153/CMB-1985-020-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-020-6/}
}
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