# The dimension of remainders of rim-compact spaces

Fundamenta Mathematicae (1993)

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

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topAarts, 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- J. M. Aarts and T. Nishiura [1993], Dimension and Extensions, Elsevier, Amsterdam.
- B. Diamond, J. Hatzenbuhler and D. Mattson [1988], On when a 0-space is rimcompact, Topology Proc. 13, 189-202.
- R. Engelking [1989], General Topology, revised and completed edition, Sigma Ser. Pure Math. 6, Heldermann, Berlin.
- J. R. Isbell [1964], Uniform Spaces, Math. Surveys 12, Amer. Math. Soc., Providence, R.I.
- J. Kulesza [1990], An example in the dimension theory of metrizable spaces, Topology Appl. 35, 109-120.
- 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).

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