English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
 Local TagsRelease HistoryDetailsSummary
  Topological persistence for circle valued maps

Burghelea, D., & Dey, T. K. (2013). Topological persistence for circle valued maps. Discrete & Computational Geometry, 50(1), 69-98. doi:10.1007/s00454-013-9497-x.

Item is

 

show all

Basic

hide
Item Permalink: https://hdl.handle.net/21.11116/0000-0004-663D-6 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-663E-5
Genre: Journal Article

Files

hide Files
:
Burghelea-Dey_Topological Persistence for Circle Valued maps_2013.pdf (Publisher version), 652KB
 
File Permalink:
-
Name:
Burghelea-Dey_Topological Persistence for Circle Valued maps_2013.pdf
Description:
-
OA-Status:
Visibility:
Restricted ( Max Planck Society (every institute); )
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-
:
Burghelea_Publications originated_ finalized at MPI.eml (Correspondence), 24KB
 
File Permalink:
-
Name:
Burghelea_Publications originated_ finalized at MPI.eml
Description:
-
OA-Status:
Visibility:
Private
MIME-Type / Checksum:
message/rfc822
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

hide
Locator:
https://doi.org/10.1007/s00454-013-9497-x (Publisher version)
Description:
-
OA-Status:

Creators

hide
 Creators:
Burghelea, Dan1, Author           
Dey, Tamal K., Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

Content

hide
Free keywords: -
 Abstract: We study circle-valued maps and consider the persistence of the homology of their fibers. The outcome is a finite collection of computable invariants which answer the basic questions on persistence and in addition encode the topology of the source space and its relevant subspaces. Unlike persistence of real-valued maps, circle-valued maps enjoy a different class of invariants called Jordan cells in addition to bar codes. We establish a relation between the homology of the source space and of its relevant subspaces with these invariants and provide a new algorithm to compute these invariants from an input matrix that encodes a circle-valued map on an input simplicial complex.

Details

hide
Language(s): eng - English
 Dates: 2013
 Publication Status: Issued
 Pages: 30
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1007/s00454-013-9497-x
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

hide
Title: Discrete & Computational Geometry
  Abbreviation : Discrete Comput. Geom.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 50 (1) Sequence Number: - Start / End Page: 69 - 98 Identifier: -