Geodesic
Difference Hierarchy in $\varphi$-Spaces
Algebra i logika, Tome 43 (2004) no. 4, pp. 425-444

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Some results on the Borel and difference hierarchies of subsets in $\varphi$-spaces are established. For instance, we prove analogs of the Hausdorff theorem (relating the difference and Borel hierarchies) and the Lavrentyev theorem (asserting the non-collapse of the difference hierarchy).
Keywords: $\varphi$-space, Borel hierarchy, difference hierarchy. 
@article{AL_2004_43_4_a2,
     author = {V. L. Selivanov},
     title = {Difference {Hierarchy} in $\varphi${-Spaces}},
     journal = {Algebra i logika},
     pages = {425--444},
     publisher = {mathdoc},
     volume = {43},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2004_43_4_a2/}
}
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V. L. Selivanov. Difference Hierarchy in $\varphi$-Spaces. Algebra i logika, Tome 43 (2004) no. 4, pp. 425-444. http://geodesic.mathdoc.fr/item/AL_2004_43_4_a2/