ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIV, 1 (2005)
p. 1 - 13

Limit of approximate inverse system of totally regular continua is totally regular
I. Loncar


Abstract.  It is known that the limit of an inverse system of totally regular continua is a totally regular continuum. In this paper we shall prove that this is true for approximate limit of an approximate inverse system in the sense of S. Mardesic (Theorem 14).

Keywords: A totally regular continuum, approximate inverse system.  

AMS Subject classification:  54C10, 54F15, 54B35.

Download:     Adobe PDF     Compressed Postscript      

Version to read:     Adobe PDF

Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic  

Telephone: + 421-2-60295755 Fax: + 421-2-65425882  
e-Mail: amuc@fmph.uniba.sk   Internet: www.iam.fmph.uniba.sk/amuc

© Copyright 2005, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE