Finiteness and compactness in chain-net spaces
D. W. Hajek, R. G. Wilson (1982)
Matematički Vesnik
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D. W. Hajek, R. G. Wilson (1982)
Matematički Vesnik
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Meyer, P. R.
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Jayanthan, A.J. (1992)
International Journal of Mathematics and Mathematical Sciences
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Simon, Petr, Tironi, Gino (1998)
Serdica Mathematical Journal
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∗ The first named author’s research was partially supported by GAUK grant no. 350, partially by the Italian CNR. Both supports are gratefully acknowledged. The second author was supported by funds of Italian Ministery of University and by funds of the University of Trieste (40% and 60%). Aiming to solve some open problems concerning pseudoradial spaces, we shall present the following: Assuming CH, there are two semiradial spaces without semi-radial product. A new property...
István Juhász, William Weiss (1986)
Commentationes Mathematicae Universitatis Carolinae
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Hisahiro Tamano (1971)
Fundamenta Mathematicae
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Klaus Heiner Kamps (1978)
Colloquium Mathematicae
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Katsuya Yokoi (2015)
Annales Polonici Mathematici
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This paper is concerned with strong chain recurrence introduced by Easton. We investigate the depth of the transfinite sequence of nested, closed invariant sets obtained by iterating the process of taking strong chain recurrent points, which is a related form of the central sequence due to Birkhoff. We also note the existence of a Lyapunov function which is decreasing off the strong chain recurrent set. As an application, we give a necessary and sufficient condition for the coincidence...