Geodesic
Iterations of Resolvents and Homogeneous Cut-Point Spaces
Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 288-299

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An approach describing the spaces of iterations of resolvents with constant mappings is given. Its use allows one to construct (homogeneous, not algebraically homogeneous) cut-point spaces of arbitrary order.
Keywords: resolvent, iteration of a resolvent, cut-point space, compact Hausdorff space, base for a topology, homeomorphism of spaces, connected space, fiber. 
@article{MZM_2015_98_2_a12,
     author = {M. S. Shulikina},
     title = {Iterations of {Resolvents} and {Homogeneous} {Cut-Point} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {288--299},
     publisher = {mathdoc},
     volume = {98},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a12/}
}
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M. S. Shulikina. Iterations of Resolvents and Homogeneous Cut-Point Spaces. Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 288-299. http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a12/