Maximal pairwise complementary families of quasi-uniformities

被引:1
|
作者
Kuenzi, Hans-Peter A. [1 ]
Losonczi, Attila [1 ]
机构
[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa
关键词
Lattice of quasi-uniformities; Partial order; Complementary quasi-uniformities; PARTIAL ORDERS; ANTI-ATOMS; TOPOLOGIES; LATTICES; INFIMA;
D O I
10.1016/j.topol.2014.01.009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For any positive integer n > 1 we construct on an infinite set a maximal pairwise complementary family of partial orders that has n elements. The example is motivated by a question of J. Steprans and S. Watson. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:64 / 68
页数:5
相关论文
共 50 条
  • [1] Maximal pairwise complementary families of quasi-uniformities, II
    Kunzi, Hans-Peter A.
    Losonczi, Attila
    TOPOLOGY AND ITS APPLICATIONS, 2018, 233 : 61 - 66
  • [2] INITIAL QUASI-UNIFORMITIES
    BRUMMER, GCL
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1969, 72 (05): : 403 - &
  • [3] FRAME QUASI-UNIFORMITIES
    FLETCHER, P
    HUNSAKER, W
    LINDGREN, W
    MONATSHEFTE FUR MATHEMATIK, 1994, 117 (3-4): : 223 - 236
  • [4] Weightable quasi-uniformities
    Kuenzi, H. -P. A.
    Romaguera, S.
    ACTA MATHEMATICA HUNGARICA, 2012, 136 (1-2) : 107 - 128
  • [5] Nontransitive quasi-uniformities
    Künzl, HPA
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1999, 55 (1-2): : 161 - 167
  • [6] QUASI-UNIFORMITIES IN HYPERSPACES
    BERTHIAUME, G
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 66 (02) : 335 - 343
  • [7] CONSTRUCTION OF QUASI-UNIFORMITIES
    HUNSAKER, W
    LINDGREN, W
    MATHEMATISCHE ANNALEN, 1970, 188 (01) : 39 - &
  • [8] PRECOMPACT TRANSITIVE QUASI-UNIFORMITIES
    FLETCHER, P
    LINDGREN, WF
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (05): : 836 - &
  • [9] CONSTRUCTION OF QUASI-UNIFORMITIES
    HUNSAKER, WN
    LINDGREN, WF
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (02): : 468 - &
  • [10] EXTENSIONS OF QUASI-UNIFORMITIES
    CSASZAR, A
    ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1981, 37 (1-3): : 121 - 145