Cleavability over ordinals

被引：0
|
作者：
Levine, Shari [1 ]
机构：
[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England
来源：
TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 12期
关键词：
Cleavability; Linearly ordered topological space (LOTS); Ordinal; Homeomorphism;
D O I：
10.1016/j.topol.2013.05.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that if X is an infinite compactum cleavable over an ordinal, then X must be homeomorphic to an ordinal. X must also therefore be a LOTS. This answers two fundamental questions in the area of cleavability. We also leave it as an open question whether cleavability of an infinite compactum X over an ordinal lambda implies X is embeddable into lambda. (C) 2013 Published by Elsevier B.V.
引用
收藏
页码：1456 / 1465
页数：10
相关论文
共 50 条
  • [21] FILTERS AND ULTRAFILTERS OVER DEFINABLE SUBSETS OF ADMISSIBLE ORDINALS
    BAETEN, J
    JOURNAL OF SYMBOLIC LOGIC, 1985, 50 (01) : 260 - 260
  • [22] A SURVEY OF CLEAVABILITY
    ARHANGELSKII, AV
    TOPOLOGY AND ITS APPLICATIONS, 1993, 54 (1-3) : 141 - 163
  • [23] Cleavability in semigroups
    Marron, DJ
    McMaster, TBM
    SEMIGROUP FORUM, 2000, 61 (01) : 86 - 90
  • [24] ON CLEAVABILITY OF TOPOLOGICAL-SPACES OVER R, RN, AND R-OMEGA
    ARHANGELSKII, AV
    ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1992, 659 : 18 - 28
  • [25] MULTIVALUED MAPPINGS AND CLEAVABILITY
    CAMMAROTO, F
    KOCINAC, L
    SANTORO, G
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1994, 25 (09): : 975 - 985
  • [26] Cleavability in Ordered Spaces
    Harold Bennett
    Robert Byerly
    David Lutzer
    Order, 2001, 18 : 1 - 17
  • [27] Cleavability in ordered spaces
    Bennett, H
    Byerly, R
    Lutzer, D
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2001, 18 (01): : 1 - 17
  • [28] THE COMPLEXITY OF LINEAR-TIME TEMPORAL LOGIC OVER THE CLASS OF ORDINALS
    Demri, Stephane
    Rabinovich, Alexander
    LOGICAL METHODS IN COMPUTER SCIENCE, 2010, 6 (04) : 1 - 25
  • [29] ON CLEAVABILITY AND HEREDITARY PROPERTIES
    ARHANGELSKII, AV
    CAMMAROTO, F
    HOUSTON JOURNAL OF MATHEMATICS, 1995, 21 (02): : 429 - 434
  • [30] ON ORDINALS
    QUINE, WV
    WANG, H
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (02) : 297 - &
12345