THE URYSOHN-MENGER SUM FORMULA - AN EXTENSION OF THE DYDAK-WALSH THEOREM TO DIMENSION ONE

Authors
DRANISNIKOV AN REPOVS D
Citation
An. Dranisnikov et D. Repovs, THE URYSOHN-MENGER SUM FORMULA - AN EXTENSION OF THE DYDAK-WALSH THEOREM TO DIMENSION ONE, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 59, 1995, pp. 273-282
Citations number
16
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
59
Year of publication
1995
Part
2
Pages
273 - 282
Database
ISI
SICI code
0263-6115(1995)59:<273:TUSF-A>2.0.ZU;2-R
Abstract
Let X be a finite-dimensional separable metric space, presented as a d isjoint union of subsets, X = A boolean OR B. We prove the following t heorem: For every prime p, c-dim(Zp) X less than or equal to c-dim(Zp) A + c-dim(Zp) B + 1. This improves upon some of the earlier work by D ydak and Walsh.