Limit of approximate inverse system of totally regular continua is totally regular
Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1
I. Loncar. Limit of approximate inverse system of
totally regular continua is totally regular. Acta mathematica Universitatis Comenianae, Tome 74 (2005) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a0/
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     author = {I. Loncar},
     title = {Limit of approximate inverse system of
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     journal = {Acta mathematica Universitatis Comenianae},
     year = {2005},
     volume = {74},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2005_74_1_a0/}
}
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Voir la notice de l'article provenant de la source Comenius University

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).