Geodesic
Some properties of the spaces $T(k,\tau)$ and $S(k,\tau)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 209-221

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The properties of two families of $h$-homogeneous Borel sets $\{T(k,\tau)\colon\omega\leq\tau\leq k\}$ and $\{S(k,\tau)\colon\omega\leq\tau\leq k\}$ are studied. The sets of the former family are obtained as the result of taking the union of the Baire space $B(k)$ and the $\sigma$-discrete space $Q(k)$, while the sets of the latter family are obtained as the result of taking the union of the spaces $B(k)$ and $Q(k)\times C$. We prove theorems on the embedding of these sets into absolute Souslin sets as closed subsets.
Keywords: $h$-homogeneous space, Souslin set, $\sigma LW({<}k)$-space, embedding, homeomorphism.
Mots-clés : Baire space 
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     author = {S. V. Medvedev},
     title = {Some properties of the spaces $T(k,\tau)$ and $S(k,\tau)$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {209--221},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a21/}
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S. V. Medvedev. Some properties of the spaces $T(k,\tau)$ and $S(k,\tau)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 209-221. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a21/