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Limit of approximate inverse system of totally regular continua is totally regular. (English) Zbl 1108.54012

It is known that the limit of an inverse system of totally regular continua is a totally regular continuum. The paper shows that this is also true for an approximate limit of an approximate inverse system in the sense of S. Mardesic.

MSC:

54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54F15 Continua and generalizations
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