Geodesic
The Königsberg Bridge Problemfor Peano Continua
Canadian journal of mathematics, Tome 46 (1994) no. 6, pp. 1175-1187

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

Peano continua which are images of the unit interval [0,1] or the circle S under a continuous and irreducible map are investigated. Necessary conditions for a space to be the irreducible image of [0,1] are given, and it is conjectured that these conditions are sufficient as well. Also, various results on irreducible images of [0,1] and S are given within some classes of regular curves. Some of them involve inverse limits of inverse sequences of Euler graphs with monotone bonding maps.
DOI : 10.4153/CJM-1994-066-2
Mots-clés : 54E40, 05C45, 54F15, 54F50, 54C10, Peano continuum, Euler graph, regular continuum, totally regular continuum, completely regular continuum, irreducible map, local separating point 
Bula, W.; Tymchatyn, E. D. The Königsberg Bridge Problemfor Peano Continua. Canadian journal of mathematics, Tome 46 (1994) no. 6, pp. 1175-1187. doi: 10.4153/CJM-1994-066-2
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