DOI QR코드

DOI QR Code

SOME PROPERTIES OF CLOSURE-SEQUENTIAL APPROACH SPACES

  • 투고 : 2020.05.13
  • 심사 : 2020.08.18
  • 발행 : 2020.11.15

초록

In this paper we introduce the category of closuresequential approach spaces, CSEQ. And study some properties of closure-sequential approach space.

키워드

참고문헌

  1. J. Adamek, H. Herrlich, and G. E. Strecker, Abstract and concrete categories, Pure and Applied Mathematics, A Wiley-Interscience Series of Texts, Monographs, and Tracts, New York ISBN 0-471-60922-6, MR1051419 (91h:18001) 1990.
  2. R. Baekeland and R. Lowen, Measures of Lindel of and separability in approach spaces, Internat. J. Math. And Math. Sci., 17 (1994), no. 3, 597-606, https://doi.org/10.1155/S0161171294000840
  3. R. Baekeland and R. Lowen, Measures of compactness in approach spaces, Comm. Math. Univ. Carolinae, 36 (1995), 327-345,
  4. S. P. Franklin, Spaces in which sequences suffice II, Fund. Math., 61 (1967), 51-56. https://doi.org/10.4064/fm-61-1-51-56
  5. G. Choquet, Convergences, Ann. Univ. Grenoble, Sect. Math. Phys., 23 (1948), 57-112.
  6. D. Dikrajan and W. Tholen, Categorical Structure of Closure Operators, Mathematics and its Applications, Kluwer Academic Publishers MR1368854 (97i:18004), 1995.
  7. S. P. Franklin, Spaces in which sequences suffice, Fund. Math., 57 (1965), 107-115. https://doi.org/10.4064/fm-57-1-107-115
  8. S. P. Franklin, Spaces in which sequences suffice II, Fund. Math., 61 (1967), 51-56. https://doi.org/10.4064/fm-61-1-51-56
  9. H. K. Lee, Countability and Approach Theory, Chungcheong Math. J., 27 (2014), no. 4, 581-590, https://doi.org/10.14403/jcms.2014.27.4.581
  10. R. Lowen, Approach Spaces. A common supercategory of TOP and MET, Math. Nachr., 141 (1995), 183-226. https://doi.org/10.1002/mana.19891410120
  11. R. Lowen, Approach Spaces. The missing link in the Topology-Uniformity-Metric triad, Oxford Science Publications, 1995.
  12. A. Wilansky, Topology for Analysis, Ginn and Company, 1970.