Limit of approximate inverse system of totally regular continua is totally regular.
Lončar, I. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Lončar, I. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Lončar, Ivan (2000)
International Journal of Mathematics and Mathematical Sciences
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Ivan Loncar (1999)
Publicacions Matemàtiques
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The main purpose of this paper is to prove some theorems concerning inverse systems and limits of continuous images of arcs. In particular, we shall prove that if X = {X, p, A} is an inverse system of continuous images of arcs with monotone bonding mappings such that cf (card (A)) ≠ w, then X = lim X is a continuous image of an arc if and only if each proper subsystem {X, p, B} of X with cf(card (B)) = w has the limit which is a continuous image of an arc (Theorem 18).
Pečarić, J., Pearce, C.E.M. (1997)
International Journal of Mathematics and Mathematical Sciences
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Kulkarni, Devadatta M. (1988)
International Journal of Mathematics and Mathematical Sciences
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R. Duda (1971)
Colloquium Mathematicae
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I. Lončar (1990)
Matematički Vesnik
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Radu Tunaru (1999)
Czechoslovak Mathematical Journal
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My aim is to show that some properties, proved to be true for the square matrices, are true for some not necessarily linear operators on a linear space, in particular, for Hammerstein-type operators.
G. R. Gordh Jr., Sibe Mardešić (1975)
Colloquium Mathematicae
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