Universal elements for some classes of spaces (Q2881010)
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scientific article; zbMATH DE number 6020950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Universal elements for some classes of spaces |
scientific article; zbMATH DE number 6020950 |
Statements
3 April 2012
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Dimension-like function
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saturated class
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universal space
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0.9403768
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0.9168404
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0.91488594
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0.9139184
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0.9000801
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0.8981537
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0.89181226
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0.8901548
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Universal elements for some classes of spaces (English)
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This paper concerns dimension-like functions and their universality property. Motivated by the fact that the dimension function \(Dm\) introduced by \textit{A. K. O'Conner} [Acta Math. Hung. 55, No.1-2, 83--95 (1990; Zbl 0715.54024)] does not have the universality property, in their earlier paper [Topology Appl. 155, No. 17-18, 2196--2201 (2008; Zbl 1160.54022)], the authors introduced dimension-like functions with the universality property. Continuing along this line, the authors introduce three more new dimension-like functions whose domain is the class of all spaces and whose range is the class of all ordinals with two symbols \(-1\) and \(\infty\), and show that those dimension-like functions have the universality property.
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