The dimension of remainders of rim-compact spaces

J. Aarts; E. Coplakova

Fundamenta Mathematicae (1993)

  • Volume: 143, Issue: 3, page 287-289
  • ISSN: 0016-2736

Abstract

top
Answering a question of Isbell we show that there exists a rim-compact space X such that every compactification Y of X has dim(Y)≥ 1.

How to cite

top

Aarts, J., and Coplakova, E.. "The dimension of remainders of rim-compact spaces." Fundamenta Mathematicae 143.3 (1993): 287-289. <http://eudml.org/doc/212010>.

@article{Aarts1993,
abstract = {Answering a question of Isbell we show that there exists a rim-compact space X such that every compactification Y of X has dim(Y)≥ 1.},
author = {Aarts, J., Coplakova, E.},
journal = {Fundamenta Mathematicae},
keywords = {rim-compact space; compactification},
language = {eng},
number = {3},
pages = {287-289},
title = {The dimension of remainders of rim-compact spaces},
url = {http://eudml.org/doc/212010},
volume = {143},
year = {1993},
}

TY - JOUR
AU - Aarts, J.
AU - Coplakova, E.
TI - The dimension of remainders of rim-compact spaces
JO - Fundamenta Mathematicae
PY - 1993
VL - 143
IS - 3
SP - 287
EP - 289
AB - Answering a question of Isbell we show that there exists a rim-compact space X such that every compactification Y of X has dim(Y)≥ 1.
LA - eng
KW - rim-compact space; compactification
UR - http://eudml.org/doc/212010
ER -

References

top
  1. J. M. Aarts and T. Nishiura [1993], Dimension and Extensions, Elsevier, Amsterdam. Zbl0873.54037
  2. B. Diamond, J. Hatzenbuhler and D. Mattson [1988], On when a 0-space is rimcompact, Topology Proc. 13, 189-202. Zbl0714.54025
  3. R. Engelking [1989], General Topology, revised and completed edition, Sigma Ser. Pure Math. 6, Heldermann, Berlin. 
  4. J. R. Isbell [1964], Uniform Spaces, Math. Surveys 12, Amer. Math. Soc., Providence, R.I. Zbl0124.15601
  5. J. Kulesza [1990], An example in the dimension theory of metrizable spaces, Topology Appl. 35, 109-120. Zbl0715.54025
  6. Yu. M. Smirnov [1958], An example of a completely regular space with zero-dimensional Čech remainder, not having the property of semibicompactness, Dokl. Akad. Nauk SSSR 120, 1204-1206 (in Russian). Zbl0085.16903

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.