Products of Lindelof spaces with points G_δ

Usuba Toshimichi

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Products of Lindelof spaces with points G_δ

机译：点G_δ的Lindelof空间的乘积

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摘要

We show that if CH holds and either (i) there exists an omega(1)-Kurepa tree, or (ii) square(omega(2)) holds, then there are regular T-1 Lindelof spaces X-0 and X-1 with points G(delta) such that the extent of X-0 x X-1 is strictly greater than 2(omega). (C) 2018 Elsevier B.V. All rights reserved.

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《Topology and its applications》 |2019年第1期|90-96|共7页
作者
Usuba Toshimichi;
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作者单位

Waseda Univ, Fac Sci & Engn, Shinjyuku Ku, Okubo 3-4-1, Tokyo 1698555, Japan;

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原文格式 PDF
正文语种 eng
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关键词
Aronszajn tree; Kurepa tree; Lindelof space; Points G(delta); Square principle;

机译：Aronszajn树;Kurepa树;Lindelof空间;点G（delta）;平方原理;

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1. Some remarks on metric spaces whose product with every lindelof space is lindelof [J] . K. Alster Proceedings of the American Mathematical Society . 1999,第8期

机译：关于度量空间的一些注释，这些度量空间与每个lindelof空间的乘积为lindelof
2. ORDERED FUZZY G_δ-COMPACT SPACES AND FUZZY G_δ-NORMALLY ORDERED SPACES [J] . M.K. UMA, E. ROJA, G. BALASUBRAMANIAN Bulletin of the Calcutta Mathematical Society . 2008,第3期

机译：有序模糊G_δ-紧致空间和有序G_δ-正规有序空间
3. Every ∑_s-product of K-analytic spaces has the Lindelof E-property [J] . Casarrubias-Segura F., Garcia-Ferreira S., Rojas-Hernandez R. Topology and its applications . 2018,第FEBa1期

机译：K分析空间的每个∑_s乘积都具有Lindelof电子属性
4. nIαg-Compact spaces and nIαg-Lindelof spaces in nano ideal topological spaces [C] . M. Parimala, D. Arivuoli, R. Perumal, International Conference on Mathematical Techniques and Applications . 2020

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5. Growth estimates and Phragmen-Lindelof principles for half space problems. [D] . Talvila, Erik Olavi. 1997

机译：半空间问题的增长估计和Phragmen-Lindelof原理。
6. Use of homoduplex ribosomal DNA spacer amplification products and heteroduplex cross-hybridization products in the identification of Salmonella serovars. [O] . M A Jensen, R J Hubner 1996

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7. Productively Lindelof and Indestructibly Lindelof Spaces [O] . Duanmu, Haosui, Tall, Franklin D., Zdomskyy, Lyubomyr 2012

机译：生产性Lindelof和Indestructilable Lindelof空间
8. Space tourism: A flight of fantasy or the next major space product Paper session 3: Products [R] . Stone, Barbara A. 1994

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Products of Lindelof spaces with points G_δ

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