Monotone partitions and almost partitions

被引:1
|
作者
Bonanzinga, Maddalena [1 ]
Cammaroto, Filippo [1 ]
van Mill, Jan [2 ]
Pansera, Bruno A. [1 ]
机构
[1] Univ Messina, Dipartimento Matemat & Informat, I-98166 Messina, Italy
[2] Univ Amsterdam, KdV Inst Math, NL-1090 GE Amsterdam, Netherlands
关键词
Partition; Monotone partition; Tree of open sets; Souslin line; Generalized ordered space; VERSIONS;
D O I
10.1016/j.topol.2014.10.012
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we are interested in monotone versions of partitionability of topological spaces and weak versions thereof. We identify several classes of spaces with these properties by constructing trees of open sets with various properties. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:411 / 416
页数:6
相关论文
共 50 条
  • [21] Cubic partitions in terms of distinct partitions
    Merca, Mircea
    RAMANUJAN JOURNAL, 2025, 67 (02):
  • [22] Adjunctions on the lattices of partitions and of partial partitions
    Christian Ronse
    Applicable Algebra in Engineering, Communication and Computing, 2010, 21 : 343 - 396
  • [23] Sequentially congruent partitions and partitions into squares
    Robert Schneider
    James A. Sellers
    Ian Wagner
    The Ramanujan Journal, 2021, 56 : 645 - 650
  • [24] Parity biases in partitions and restricted partitions
    Banerjee, Koustav
    Bhattacharjee, Sreerupa
    Dastidar, Manosij Ghosh
    Mahanta, Pankaj Jyoti
    Saikia, Manjil P.
    EUROPEAN JOURNAL OF COMBINATORICS, 2022, 103
  • [25] Sequentially congruent partitions and partitions into squares
    Schneider, Robert
    Sellers, James A.
    Wagner, Ian
    RAMANUJAN JOURNAL, 2021, 56 (02): : 645 - 650
  • [26] Adjunctions on the lattices of partitions and of partial partitions
    Ronse, Christian
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2010, 21 (05) : 343 - 396
  • [27] EPIDEMIC OUTBREAKS IN NETWORKS WITH EQUITABLE OR ALMOST-EQUITABLE PARTITIONS
    Bonaccorsi, S.
    Ottaviano, S.
    Mugnolo, D.
    De Pellegrini, F.
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2015, 75 (06) : 2421 - 2443
  • [28] Almost equitable partitions and new necessary conditions for network controllability
    Aguilar, Cesar O.
    Gharesifard, Bahman
    AUTOMATICA, 2017, 80 : 25 - 31
  • [29] Comments on "On multi-consensus and almost equitable graph partitions"
    Ma, Jeong-Min
    Park, Nam-Jin
    Lee, Hyung-Gon
    Ahn, Hyo-Sung
    AUTOMATICA, 2024, 167
  • [30] Partitions
    Kane, Fawzia Muradali
    POETRY REVIEW, 2020, 110 (03): : 12 - 13