Kazuhisa Ishida, Yasunari Shidama (2010)
Formalized Mathematics
Similarity:
This text includes the definition of chain-complete poset, fix-point theorem on it, and the definition of the function space of continuous functions on chain-complete posets [10].
Klaus Heiner Kamps (1978)
Colloquium Mathematicae
Similarity:
Vladimir Janković (1984)
Publications de l'Institut Mathématique
Similarity:
Berikashvili, N. (1996)
Georgian Mathematical Journal
Similarity:
Katsuya Yokoi (2015)
Annales Polonici Mathematici
Similarity:
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...
Patchkoria, Alex (2006)
Journal of Homotopy and Related Structures
Similarity:
Kupka, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
Similarity:
Y. L. Wong (1982)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Similarity:
Kadeishvili, T., Saneblidze, S. (1998)
Georgian Mathematical Journal
Similarity:
Bernd Günther (1992)
Fundamenta Mathematicae
Similarity:
We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology. ...