Is the product of ccc spaces a ccc space?

Nina M. Roy

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 2, page 173-183
  • ISSN: 0214-1493

Abstract

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In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.

How to cite

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Roy, Nina M.. "Is the product of ccc spaces a ccc space?." Publicacions Matemàtiques 33.2 (1989): 173-183. <http://eudml.org/doc/41105>.

@article{Roy1989,
abstract = {In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.},
author = {Roy, Nina M.},
journal = {Publicacions Matemàtiques},
keywords = {Espacio topológico; Condiciones de cadena; Martin's axiom; continuum hypothesis; Souslin line; ccc spaces},
language = {eng},
number = {2},
pages = {173-183},
title = {Is the product of ccc spaces a ccc space?},
url = {http://eudml.org/doc/41105},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Roy, Nina M.
TI - Is the product of ccc spaces a ccc space?
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 2
SP - 173
EP - 183
AB - In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.
LA - eng
KW - Espacio topológico; Condiciones de cadena; Martin's axiom; continuum hypothesis; Souslin line; ccc spaces
UR - http://eudml.org/doc/41105
ER -

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