Displaying similar documents to “Pseudo orbit tracing property and fixed points”

The simplest shadowing

Jerzy Ombach (1993)

Annales Polonici Mathematici

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Two different and easy proofs are presented that a hyperbolic linear homeomorphism of a Banach space admits the shadowing.

Some families of pseudo-processes

J. Kłapyta (1994)

Annales Polonici Mathematici

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We introduce several types of notions of dis persive, completely unstable, Poisson unstable and Lagrange uns table pseudo-processes. We try to answer the question of how many (in the sense of Baire category) pseudo-processes with each of these properties can be defined on the space ℝ m . The connections are discussed between several types of pseudo-processes and their limit sets, prolongations and prolongational limit sets. We also present examples of applications of the above results to...

Weak pseudo-complementations on ADL’s

R. Vasu Babu, Ch. Santhi Sundar Raj, B. Venkateswarlu (2014)

Archivum Mathematicum

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The notion of an Almost Distributive Lattice (abbreviated as ADL) was introduced by U. M. Swamy and G. C. Rao [6] as a common abstraction of several lattice theoretic and ring theoretic generalization of Boolean algebras and Boolean rings. In this paper, we introduce the concept of weak pseudo-complementation on ADL’s and discuss several properties of this.

Pseudo-categories.

Martins-Ferreira, N. (2006)

Journal of Homotopy and Related Structures

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Saddles for expansive flows with the pseudo orbits tracing property

Jerzy Ombach (1991)

Annales Polonici Mathematici

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Let F be an expansive flow with the pseudo orbits tracing property on a compact metric space X. Suppose X is connected, locally connected and contains at least two distinct orbits. Then any point is a saddle.

The Oka-Weil theorem in topological vector spaces

Bui Dac Tac (1991)

Annales Polonici Mathematici

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It is shown that a sequentially complete topological vector space X with a compact Schauder basis has WSPAP (see Definition 2) if and only if X has a pseudo-homogeneous norm bounded on every compact subset of X.

The fundamental theorem of dynamical systems

Douglas E. Norton (1995)

Commentationes Mathematicae Universitatis Carolinae

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We propose the title of The Fundamental Theorem of Dynamical Systems for a theorem of Charles Conley concerning the decomposition of spaces on which dynamical systems are defined. First, we briefly set the context and state the theorem. After some definitions and preliminary results, based both on Conley's work and modifications to it, we present a sketch of a proof of the result in the setting of the iteration of continuous functions on compact metric spaces. Finally, we claim that...