End spaces of graphs are normal

被引:7
|
作者
Spruessel, Philipp [1 ]
机构
[1] Univ Hamburg, Math Seminar, D-20146 Hamburg, Germany
关键词
infinite graphs; ends of graphs; end space; separation axioms; normality;
D O I
10.1016/j.jctb.2007.10.006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that the topological space of any infinite graph and its ends is normal. In particular, end spaces themselves are normal. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:798 / 804
页数:7
相关论文
共 50 条
  • [1] TOTALLY NORMAL CELLULAR STRATIFIED SPACES AND APPLICATIONS TO THE CONFIGURATION SPACE OF GRAPHS
    Furuse, Mizuki
    Mukouyama, Takashi
    Tamaki, Dai
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 45 (01) : 169 - 214
  • [2] End-faithful spanning trees in graphs without normal spanning trees
    Buerger, Carl
    Kurkofka, Jan
    JOURNAL OF GRAPH THEORY, 2022, 101 (01) : 95 - 105
  • [3] A note on spaces between normal and κ-normal spaces
    Das, Ananga Kumar
    FILOMAT, 2013, 27 (01) : 85 - 88
  • [4] Symmetric spaces of graphs
    Alekseev V.E.
    Zakharova D.V.
    J. Appl. Ind. Math., 2008, 2 (151-154): : 151 - 154
  • [5] NORMAL, SEPARABLE MOORE SPACES AND NORMAL MOORE SPACES
    TRAYLOR, DR
    DUKE MATHEMATICAL JOURNAL, 1963, 30 (03) : 485 - &
  • [6] End to end learning and optimization on graphs
    Wilder, Bryan
    Ewing, Eric
    Dilkina, Bistra
    Tambe, Milind
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 32 (NIPS 2019), 2019, 32
  • [8] On γ-normal spaces
    Ekici, Erdal
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2007, 50 (03): : 259 - 272
  • [9] NORMAL SELECTORS FOR THE NORMAL SPACES
    NEDEV, SJ
    VALOV, VM
    DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1984, 37 (07): : 843 - 846
  • [10] ON -]NORMAL SPACES
    BALOGH, ZT
    BURKE, DK
    TOPOLOGY AND ITS APPLICATIONS, 1994, 57 (01) : 71 - 85