Displaying similar documents to “Finiteness and compactness in chain-net spaces”

On strong chain recurrence for maps

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...

Weak chain-completeness and fixed point property for pseudo-ordered sets

S. Parameshwara Bhatta (2005)

Czechoslovak Mathematical Journal

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In this paper the notion of weak chain-completeness is introduced for pseudo-ordered sets as an extension of the notion of chain-completeness of posets (see [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.

Pseudoradial Spaces: Finite Products and an Example From CH

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...