A Corson compact L-space from a Suslin tree

Peter Nyikos

Colloquium Mathematicae (2015)

  • Volume: 141, Issue: 2, page 149-155
  • ISSN: 0010-1354

Abstract

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The completion of a Suslin tree is shown to be a consistent example of a Corson compact L-space when endowed with the coarse wedge topology. The example has the further properties of being zero-dimensional and monotonically normal.

How to cite

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Peter Nyikos. "A Corson compact L-space from a Suslin tree." Colloquium Mathematicae 141.2 (2015): 149-155. <http://eudml.org/doc/284175>.

@article{PeterNyikos2015,
abstract = {The completion of a Suslin tree is shown to be a consistent example of a Corson compact L-space when endowed with the coarse wedge topology. The example has the further properties of being zero-dimensional and monotonically normal.},
author = {Peter Nyikos},
journal = {Colloquium Mathematicae},
keywords = {corson compact; -product; L-space; tree; level; chain complete; Dedekind complete; chain completion; coarse wedge topology; Suslin tree; monotonically normal},
language = {eng},
number = {2},
pages = {149-155},
title = {A Corson compact L-space from a Suslin tree},
url = {http://eudml.org/doc/284175},
volume = {141},
year = {2015},
}

TY - JOUR
AU - Peter Nyikos
TI - A Corson compact L-space from a Suslin tree
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 2
SP - 149
EP - 155
AB - The completion of a Suslin tree is shown to be a consistent example of a Corson compact L-space when endowed with the coarse wedge topology. The example has the further properties of being zero-dimensional and monotonically normal.
LA - eng
KW - corson compact; -product; L-space; tree; level; chain complete; Dedekind complete; chain completion; coarse wedge topology; Suslin tree; monotonically normal
UR - http://eudml.org/doc/284175
ER -

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