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The Königsberg bridge problem for Peano continua
1994
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
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
fatcat:qsbs5myc6zdprnjz46l7irqlsm