[PDF][PDF] A survey of ultraproduct constructions in general topology

P Bankston - arxiv preprint math/9709203, 1997 - arxiv.org
arxiv:math/9709203v1 [math.LO] 2 Sep 1997 Page 1 arxiv:math/9709203v1 [math.LO] 2 Sep
1997 February 1, 2008 A Survey of Ultraproduct Constructions in General Topology Paul …

The Chang-Łoś-Suszko theorem in a topological setting

P Bankston - Archive for Mathematical Logic, 2006 - Springer
The Chang-Łoś-Suszko theorem of first-order model theory characterizes universal-
existential classes of models as just those elementary classes that are closed under unions …

Hereditarily indecomposable subcontinua of the inverse limit of lexicographic arcs are metric

M Smith - Topology and its Applications, 2007 - Elsevier
Hereditarily indecomposable subcontinua of the inverse limit of lexicographic arcs are metric
Page 1 Topology and its Applications 154 (2007) 2813–2816 www.elsevier.com/locate/topol …

Hereditarily indecomposable subcontinua of inverse limits of Souslin arcs are metric

M Smith - Topology and its Applications, 2008 - Elsevier
We prove that if Si is a Souslin arc (a Hausdorff arc that is the compactification of a Souslin
line) for each i and [Formula: see text], then every hereditarily indecomposable …

Hereditarily indecomposable subcontinua of the product of two Souslin arcs are metric

M Smith - Topology and its Applications, 2009 - Elsevier
Hereditarily indecomposable subcontinua of the product of two Souslin arcs are metric
Page 1 Topology and its Applications 156 (2009) 522–524 Contents lists available at …

[PDF][PDF] Some examples of higher-dimensional rigid continua

J Krzempek - Houston J. Math, 2009 - Citeseer
An attempt is made to find analogues of Anderson, Choquet, and Cook's rigid continua in
dimensions greater than one. For each natural number n≥ 2, two examples of n …

Finite-to-one maps and dimension

J Krzempek - Fundamenta Mathematicae, 2004 - infona.pl
It is shown that for every at most k-to-one closed continuous map f from a non-empty n-
dimensional metric space X, there exists a closed continuous map g from a zero …

Generalized Cantor manifolds and indecomposable continua

V Todorov, V Valov - arxiv preprint arxiv:1204.2873, 2012 - arxiv.org
We review results concerning homogeneous compacta and discuss some open questions. It
is established that indecomposable continua are Alexandroff (resp., Mazurkiewicz, or strong …

[HTML][HTML] Continuous images of hereditarily indecomposable continua

DP Bellamy - Revista Integración, 2019 - scielo.org.co
Continuous images of hereditarily indecomposable continua SciELO - Scientific Electronic
Library Online vol.37 issue1 On the existence of a priori bounds for positive solutions of elliptic …

Elementarity and dimensions

KP Hart - Mathematical Notes, 2005 - Springer
Elementarity and Dimensions Page 1 Mathematical Notes, vol. 78, no. 2, 2005, pp. 264–269.
Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 292–298. Original Russian …