Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102743
Title: The complement of a σ-compact subset of a space with a π-tree also has a π-tree
Authors: Patrakeev, M.
Issue Date: 2017
Publisher: Elsevier B.V.
Citation: Patrakeev M. The complement of a σ-compact subset of a space with a π-tree also has a π-tree / M. Patrakeev. — DOI 10.1016/j.topol.2017.02.060 // Topology and its Applications. — 2017. — Vol. 221. — P. 326-351.
Abstract: We prove that the complement of a σ-compact subset of a topological space that has a π-tree also has a π-tree. To do this, we construct the foliage hybrid operation, which deals with foliage trees (that is, set-theoretic trees with a ‘leaf’ at each node). Then using this operation we modify a π-tree of a space and get a π-tree for its subspace. © 2017 Elsevier B.V.
Keywords: FOLIAGE TREE
LUSIN PI-BASE
LUSIN SCHEME
PI-TREE
SIGMA-COMPACT
SOUSLIN SCHEME
THE BAIRE SPACE
THE FOLIAGE HYBRID OPERATION
THE SORGENFREY LINE
URI: http://hdl.handle.net/10995/102743
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85013777565
PURE ID: 1614670
04215ae2-e8b5-420f-bfe8-4517b5b0d986
ISSN: 1668641
DOI: 10.1016/j.topol.2017.02.060
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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