- 期刊
NOWHERE DENSE SETS AND REAL-VALUED FUNCTIONS WITH CLOSED GRAPHS
摘要
Closed and nowhere dense subsets which coincide with the points of discontinuity of real-valued functions with a closed graph on spaces which are not necessarily perfectly normal are investigated. Certain G_δ subsets of completely regular and normal spaces are characterized. It is also shown that there exists a countable connected Urysohn space X with the property that no closed and nowhere dense subset of X coincides with the points of discontinuity of a real-valued function on X with a closed graph.
延伸閱讀
- 黃柏勳（2018）。On the Non-Function Generating Functions〔碩士論文，逢甲大學〕。華藝線上圖書館。https://doi.org/10.6341/fcu.M0502906
- Su, H., Rogovchenko, Y. V., Raffoul, Y., Sang, Y., & Xu, F. (2013). Nonlinear Functional Difference Equations with Applications. Discrete Dynamics in Nature and Society, 2013(), 678-679-078. https://doi.org/10.1155/2013/360860
- Chen, S. H. (2014). Covering Problems in Graphs [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2014.01803
- Hsieh, C. T. (2007). Covering Graphs with Directed Paths [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2007.00002
- Guo, B. Y. (2016). Signal Processing on Graphs and Notch Filter Design [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201801605