2016 Fiscal Year Final Research Report
Construction of extender for continuous maps
| Project/Area Number |
23540100
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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 |
Geometry
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| Research Institution | Takasaki City University of Economics |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2017-03-31
|
| Keywords | 拡張問題 / 内挿理論 / 拡張作用素 / 半連続写像 / 順序位相ベクトル空間 |
|---|
| Outline of Final Research Achievements |
For extension problems of continuous maps, assignment for maps and insertion theory are studied. Monotone countable paracompactness is characterized by using assignment for maps with values in ordered topological vector spaces. Moreover, generalized Dowker-Katetov insertion theorems are also given for maps with the following ranges: (i) ordered topological vector spaces with positive interior points, (ii) bi-bounded complete and bicontinuous posets.
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| Free Research Field |
位相空間論
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