On densities of box products

Moti Gitik; Saharon Shelah

doi:10.1016/s0166-8641(97)00176-4

On densities of box products

Moti Gitik^*, Saharon Shelah

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We construct two universes V₁, V₂ satisfying the following GCH below א_ω, 2^אω = א_ω+2 and the topological density of the space ^אω2 with א₀ box product topology d_<א1 (א_ω) is א_ω+1 in V₁ and א_ω+2 in V₂. Further related results are discussed as well.

Original language	English
Pages (from-to)	219-237
Number of pages	19
Journal	Topology and its Applications
Volume	88
Issue number	3
DOIs	https://doi.org/10.1016/s0166-8641(97)00176-4
State	Published - 1998

Keywords

Box product
Density

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10.1016/s0166-8641(97)00176-4

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title = "On densities of box products",

abstract = "We construct two universes V1, V2 satisfying the following GCH below אω, 2אω = אω+2 and the topological density of the space אω2 with א0 box product topology d<א1 (אω) is אω+1 in V1 and אω+2 in V2. Further related results are discussed as well.",

keywords = "Box product, Density",

author = "Moti Gitik and Saharon Shelah",

note = "Funding Information: {\textquoteright} This research was partially supported by a grant form the lxael Science Foundation. The publication number in the second author{\textquoteright}s list is 597.",

year = "1998",

doi = "10.1016/s0166-8641(97)00176-4",

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AU - Gitik, Moti

AU - Shelah, Saharon

N1 - Funding Information: ’ This research was partially supported by a grant form the lxael Science Foundation. The publication number in the second author’s list is 597.

PY - 1998

Y1 - 1998

N2 - We construct two universes V1, V2 satisfying the following GCH below אω, 2אω = אω+2 and the topological density of the space אω2 with א0 box product topology d<א1 (אω) is אω+1 in V1 and אω+2 in V2. Further related results are discussed as well.

AB - We construct two universes V1, V2 satisfying the following GCH below אω, 2אω = אω+2 and the topological density of the space אω2 with א0 box product topology d<א1 (אω) is אω+1 in V1 and אω+2 in V2. Further related results are discussed as well.

KW - Box product

KW - Density

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VL - 88

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JO - Topology and its Applications

JF - Topology and its Applications

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On densities of box products

Abstract

Keywords

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