| Project/Area Number |
25400213
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Kanagawa University |
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Principal Investigator |
SAKAI MASAMI 神奈川大学, 理学部, 教授 (60215598)
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| Co-Investigator(Renkei-kenkyūsha) |
KADA Masaru 大阪府立大学, 理学研究科, 准教授 (00312447)
OTA Haruto 静岡大学, 教育学部, 教授 (40126769)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | Pixley-Roy hyperspace / Pixley-Roy / Scheepers予想 / Pixley-Roy topology |
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| Outline of Final Research Achievements |
Concerning Scheepers’ conjecture on special subsets of the real line and pseudo-normal convergence of continuous functions in a function space Cp(X) with the topology of pointwise convergence, we tried to answer the conjecture in view of Pixley-Roy hyperspaces. As a result, we obtained the following。(1) we gave , for a Pixley-Roy hyperspace PR(X), a sufficient and necessary condition for PR(X) to be weakly Hurewicz; (2) we answered, in the negative, Scheepers' question "Is every Lindelof space weakly Menger?", and as a byproduct, we answered, also in the negative, Wingers' question "Does every Lindelof space have a dense Menger subspace?".
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