The Königsberg bridge problem for Peano continua

W. Bula, J. Nikiel, E. D. Tymchatyn
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