English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper one presents a collection of results about the "bar codes" and"Jordan blocks" introduced by Burghelea-Day as "computer friendly" invariantsof a tame angle-valued map and one relates these invariants to the Bettinumbers, Novikov Betti numbers and the monodromy of the underlying space andmap.  Among others, one organizes the bar codes as two configurations of points inC\0 and one establishes their main properties: stability property and when theunderlying space is a closed topological manifold, Poincar\'e duality property.One also provides an alternative "computer friendly" definition of themonodromy of an angle valued map based on the algebra of linear relations aswell as a refinement of Morse and Morse-Novikov inequalities.

Topology of angle valued maps, bar codes and Jordan blocks