The dimension of remainders of rim-compact spaces

• Autorzy: Aarts J. M. , Coplakova E.
• Języki publikacji: EN

Abstrakty

EN

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\X)≥ 1.

Kategorie tematyczne

• 54D35: Extensions of spaces (compactifications, supercompactifications, completions, etc.)
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1993
• Tom: 143
• Numer: 3
• Strony: 287-289

Daty

wydano

1993

otrzymano

1993-05-14

Twórcy

autor

Aarts J. M.

• Faculty of Technical Mathematics and Informatics, TU Delft, Postbus 5031, 2600 GA Delft, The Netherlands

autor

Coplakova E.

• Faculty of Technical Mathematics and Informatics, TU Delft, Postbus 5031, 2600 GA Delft, The Netherlands

Bibliografia

• 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).