Topological Dynamics Systems

Postgraduate Thesis uoadl:1320474 630 Read counter

Unit:
Κατεύθυνση Θεωρητικά Μαθηματικά
Library of the School of Science
Deposit date:
2015-11-06
Year:
2015
Author:
Καρατζιάς Βασίλειος
Supervisors info:
Βασιλική Φαρμάκη Καθηγήτρια
Original Title:
Τοπολογικά Δυναμικά Συστήματα
Languages:
Greek
Translated title:
Topological Dynamics Systems
Summary:
The aim of this essay is to study the topological dynamics systems. Spe-
ci cally we have a compact topological space X, G a group of continuous
transformations from X to X, and we consider that the G acting on X. The
basic object in our study are the orbits of the points of X. With the aid of the
topological dynamics systems a result of number theory (theorem Van der
Waerden) is being presented and sense of topological entropy is being intro-
duced. Finaly, the basic theory of topological dynamic systems is generalized
by using the sense of nets
Keywords:
Dynamic System, Orbits, Recurrent Point, Topological Entropy, Nets
Index:
No
Number of index pages:
0
Contains images:
No
Number of references:
26
Number of pages:
XΙΙ, 75
File:
File access is restricted.

document.pdf
452 KB
File access is restricted.