A study of extension problems of partitions of unity on topological spaces

2009 Fiscal Year Self-evaluation Report

• Project/Area Number: 19740027
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Geometry
• Research Institution: Takasaki City University of Economics
• Principal Investigator: YAMAZAKI Kaori Takasaki City University of Economics, 経済学部, 准教授 (80301076)
• Project Period (FY): 2007 – 2010
• Keywords: 位相幾何

Research Abstract

様々な性質をもつ1の分割の拡張を統一して扱うことが可能かという問題に対し,一般の位相空間上の拡張子の存在とそれらの関係を調べる.

Research Products

• [Journal Article] Monotone extenders for bounded c-valued functions (2010)
  • Author(s): Kaori Yamazaki
  • Journal Title: Studia Mathematica (掲載確定)
  • Peer Reviewed
• [Journal Article] Extenders for vector-valued functions (2009)
  • Author(s): Iryna Banakh, Taras Banakh, Kaori Yamazaki
  • Journal Title: Studia Mathematica 191 Pages: 123-150
  • Peer Reviewed
• [Presentation] Semicontinuous maps to topological vector lattices and their applications (2009)
  • Author(s): 山崎薫里
  • Organizer: 一般位相幾何学及び幾何学的トポロジーに関する研究
  • Place of Presentation: 京都大学楽友会館
  • Year and Date: 2009-10-16
• [Presentation] Extenders for vector-valued functions (2008)
  • Author(s): Kaori Yamazaki
  • Organizer: Advances in Set-Theoretic Topology
  • Place of Presentation: Erice, Italy
  • Year and Date: 2008-06-13
• [Presentation] Simultaneous extenders for bounded functions (2007)
  • Author(s): Kaori Yamazaki
  • Organizer: International conference on Topology and its Applications 2007 at Kyoto
  • Place of Presentation: 京都大学数理解析研究所および理学部数学科
  • Year and Date: 2007-12-07