Homogeneous subsets of the real line
Compositio Mathematica, Tome 46 (1982) no. 1, pp. 3-13. 
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     author = {Van Mill, Jan},
     title = {Homogeneous subsets of the real line},
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     url = {http://archive.numdam.org/item/CM_1982__46_1_3_0/}
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Van Mill, Jan. Homogeneous subsets of the real line. Compositio Mathematica, Tome 46 (1982) no. 1, pp. 3-13. http://archive.numdam.org/item/CM_1982__46_1_3_0/

[1] K. Kuratowski: Topologie II, Warsaw (1952).

[2] J. Menu: A partition of R in two homogeneous and homeomorphic parts (to appear).

[3] J. Van Mill: Characterization of some zero-dimensional separable metric spaces Trans. Amer. Math. Soc. 264 (1981) 205-215. | MR | Zbl

[4] J. Van Mill: Characterization of a certain subset of the Cantor set, to appear in Fund. Math. | MR | Zbl

[5] J. Van Mill: Periodic homeomorphisms on strongly homogeneous zero-dimensional spaces (to appear).