On an approach to constructing compacta with different dimensions dim and ind
✍ Scribed by Vitaly A. Chatyrko; Konstantin L. Kozlov; Boris A. Pasynkov
- Book ID
- 104295674
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 159 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0166-8641
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✦ Synopsis
In this paper we reveal common features in the constructions of some compacta X with dim X < ind X. To any regular T 1 -space X a class T (X) of regular T 1 -spaces is related. Elements of T (X) are called tailings of X. Two concrete types of tailings are described. For any compactum X with dim X = ind X > 0, these constructions allow to obtain compacta Y with dim Y = dim X and ind Y > dim X.
At the end of the paper, using tailings, we present compacta with different dimensions dim and ind constructed by means of product formation starting from compacta with equal dim and ind.