On an approach to constructing compacta with different dimensions dim and ind
2000 (English)In: Topology and its Applications, ISSN 0166-8641, Vol. 107, no 1-2, 39-55 p.Article in journal (Refereed) Published
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. (C) 2000 Elsevier Science B.V. All rights reserved.
Place, publisher, year, edition, pages
2000. Vol. 107, no 1-2, 39-55 p.
compactum, covering dimension, small inductive, dimension, product
IdentifiersURN: urn:nbn:se:liu:diva-49597OAI: oai:DiVA.org:liu-49597DiVA: diva2:270493