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Sets with the Baire...
Sets with the Baire property in topologies formed from a given topology and ideals of sets
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- Nyagahakwa, Venuste (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
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- Tjatyrko, Vitalij (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
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(creator_code:org_t)
- Osaka : Symposium of General Topology / Iso Shinpojumu, 2017
- 2017
- Engelska.
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Ingår i: Questions and answers in General Topology. - Osaka : Symposium of General Topology / Iso Shinpojumu. - 0918-4732. ; 35:1, s. 59-76
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- Let X be a set, τ1, τ2 topologies on X and Bp(X, τi) the family of all subsets of X possessing the Baire property in (X, τi), i = 1, 2. In this paper we study conditions on τ1 and τ2 that imply a relationship (for example, inclusion or equality) between the families Bp(X, τ1) and Bp(X, τ2). We are mostly interested in the case where the topology τ2 is formed with the help of a local function defined by the topology τ1 and an ideal of sets I on X. We also consider several applications of the local function defined by the usual topology on the reals and the ideal of all meager sets there, for proving some known facts.
Ämnesord
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Baire property
- π-compatible topologies
- Admissible extension
- Local function
- ∗-topology
- Vitali set and Bernstein set
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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