On continua comparable with all continua

被引:2
|
作者
Prajs, JR
Swól, A
机构
[1] Opole Univ, Inst Math, PL-45951 Opole, Poland
[2] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland
关键词
continuum; connected im kleinen; locally connected; harmonic fan;
D O I
10.1016/S0166-8641(99)00046-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A collection of continua is described such that each continuum either is incomparable with some element of the collection, or it is a continuous image of the harmonic fan. As a consequence, a characterization of continua comparable with all continua is obtained. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:303 / 310
页数:8
相关论文
共 50 条
  • [41] On open mappings of locally connected continua onto arcs
    Charatonik, JJ
    Charatonik, WJ
    Miklos, S
    Spyrou, P
    HOUSTON JOURNAL OF MATHEMATICS, 1998, 24 (01): : 21 - 43
  • [42] COVERING-SPACES OF HOMOGENEOUS CONTINUA
    MACIASALVAREZ, S
    TOPOLOGY AND ITS APPLICATIONS, 1994, 59 (02) : 157 - 177
  • [43] ON n-FOLD HYPERSPACES OF CONTINUA
    Macias, Sergio
    GLASNIK MATEMATICKI, 2009, 44 (02) : 479 - 492
  • [44] Pseudo-contractibility of chainable continua
    Sobolewski, Mircislaw
    TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (16) : 2983 - 2987
  • [45] Mutually Aposyndetic Decomposition of Homogeneous Continua
    Prajs, Janusz R.
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2010, 62 (01): : 182 - 201
  • [46] Induced mappings on symmetric products of continua
    Anaya, Jose G.
    Capulin, Felix
    Maya, David
    Orozco-Zitli, Fernando
    TOPOLOGY AND ITS APPLICATIONS, 2016, 214 : 100 - 108
  • [47] THE DOUBLE MIDSET CONJECTURE FOR CONTINUA IN THE PLANE
    LOVELAND, LD
    TOPOLOGY AND ITS APPLICATIONS, 1991, 40 (02) : 117 - 129
  • [48] On local connectedness at a subcontinuum and smoothness of continua
    Makuchowski, W
    HOUSTON JOURNAL OF MATHEMATICS, 2003, 29 (03): : 711 - 716
  • [49] Maps between continua with stable values
    Nadler, SB
    TOPOLOGY AND ITS APPLICATIONS, 2002, 126 (03) : 429 - 444
  • [50] Harmonic cellular continua and the binary mixtures
    Zoch, AS
    MATHEMATICS OF DATA/IMAGE CODING, COMPRESSION, AND ENCRYPTION VII, WITH APPLICATIONS, 2004, 5561 : 16 - 24