Geodesic
Coincidence Producing Maps Onto Trees
Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 417-423

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Holsztyński [1] called a map f : X → Y f r om a space X into a space Y ‘universal for all maps of X into Y f if for all maps g : X → Y there exists a point x ∊ X such that f(x) = g(x) , i. e., if f has a coincidence with all maps from X into Y. As the word ‘universal’ is already widely used with different meanings, we prefer the more precise term ‘coincidence producing’ for these maps. Such maps must clearly be surjective. 
Schirmer, Helga. Coincidence Producing Maps Onto Trees. Canadian mathematical bulletin, Tome 10 (1967) no. 3, pp. 417-423. doi: 10.4153/CMB-1967-039-x
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     title = {Coincidence {Producing} {Maps} {Onto} {Trees}},
     journal = {Canadian mathematical bulletin},
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     year = {1967},
     volume = {10},
     number = {3},
     doi = {10.4153/CMB-1967-039-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-039-x/}
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