Some consequences of restrictions on digitally continuous functions

被引：0
|
作者：
Boxer, Laurence [1 ,2 ]
机构：
[1] Niagara Univ, Dept Comp & Informat Sci, New York, NY 14109 USA
[2] SUNY Buffalo, Dept Comp Sci & Engn, Buffalo, NY 14260 USA
来源：
NOTE DI MATEMATICA | 2022年 / 42卷 / 01期
关键词：
digital topology; digital image; freezing set; FIXED-POINT SETS; FREEZING SETS; TOPOLOGY; MAPS;
D O I：
10.1285/i15900932v42n1p47
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the consequences of some restrictions on digitally continuous functions. One of our results modifies easily to yield an analogous result for topological spaces.
引用
收藏
页码：47 / 76
页数：30
相关论文
共 50 条
  • [1] Restrictions of continuous functions
    Kahane, Jean-Pierre
    Katznelson, Yitzhak
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2009, 174 (01) : 269 - 284
  • [2] Restrictions of continuous functions
    Jean-Pierre Kahane
    Yitzhak Katznelson
    [J]. Israel Journal of Mathematics, 2009, 174 : 269 - 284
  • [3] DIGITALLY CONTINUOUS-FUNCTIONS
    BOXER, L
    [J]. PATTERN RECOGNITION LETTERS, 1994, 15 (08) : 833 - 839
  • [4] Digitally continuous multivalued functions
    Escribano, Carmen
    Giraldo, Antonio
    Sastre, Maria Asuncion
    [J]. DISCRETE GEOMETRY FOR COMPUTER IMAGERY, PROCEEDINGS, 2008, 4992 : 81 - 92
  • [5] RESTRICTIONS OF HOLDER CONTINUOUS FUNCTIONS
    Angel, Omer
    Balka, Richard
    Mathe, Andras
    Peres, Yuval
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (06) : 4223 - 4247
  • [6] On the Composition of Digitally Continuous Multivalued Functions
    Antonio Giraldo
    María Asunción Sastre
    [J]. Journal of Mathematical Imaging and Vision, 2015, 53 : 196 - 209
  • [7] On the Composition of Digitally Continuous Multivalued Functions
    Giraldo, Antonio
    Asuncion Sastre, Maria
    [J]. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2015, 53 (02) : 196 - 209
  • [8] "Big" Continuous Restrictions of Arbitrary Functions
    Ciesielski, K. C.
    Martinez-Gomez, M. E.
    Seoane-Sepulveda, J. B.
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2019, 126 (06): : 547 - 552
  • [9] Monotone and convex restrictions of continuous functions
    Buczolich, Zoltan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 452 (01) : 552 - 567
  • [10] DIFFERENTIABLE RESTRICTIONS OF CONTINUOUS-FUNCTIONS
    LACZKOVICH, M
    [J]. ACTA MATHEMATICA HUNGARICA, 1984, 44 (3-4) : 355 - 360
12345