- 期刊
WEAK CONTINUITY AND STRONGLY CLOSED SETS
並列摘要
After demonstrating the usual product theorems for weakly continuous functions, strongly closed and extremely closed subsets are contrasted to support the conjecture that a product of faintly continuous functions need not be faintly continuous. Strongly closed sets are used to characterize Hausdorff spaces and Urysohn spaces, and with these characterizations two results obtained by T. Noiri are obtained by functiontheoretic means rather than by point-set method.
延伸閱讀
- Rose, D. A. (1984). WEAK OPENNESS AND ALMOST OPENNESS. International Journal of Mathematics and Mathematical Sciences, 1984(), 35-40. https://doi.org/10.1155/S0161171284000041
- Chow, C. Y. (1985). Continuity versus change [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200000190
- SIEGEL, D. (1998). WEAK REGULARITY OF PROBABILITY MEASURES. International Journal of Mathematics and Mathematical Sciences, 1998(), 723-728. https://doi.org/10.1155/S0161171298001008
- Ghour, S. A., & Samarah, S. (2012). Cocompact Open Sets and Continuity. Abstract and Applied Analysis, 2012(), 377-385-421. https://doi.org/10.1155/2012/548612
- 黃俊傑（2000）。Change and Continuity。通識教育季刊，7(1)，1-6。https://doi.org/10.6745/JGE.200003_7(1).0001