Recurrence in Topological Dynamics
Subtitle: Furstenberg Families and Ellis Actions
By: by Ethan Akin
Series: The University Series in Mathematics; University series in mathematics (Van Nostrand Reinhold Company)
Publisher: Springer US
Published: 1997
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] :
Number of pages: 265
ISBN-13: 9781441932723; 9781475726688
Subjects: Mathematics; Topology
Description: This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory, but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.
Notes: Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.