Necessary conditions for discontinuities of multidimensional size functions

Cerri, Andrea ; Frosini, Patrizio (2009) Necessary conditions for discontinuities of multidimensional size functions. p. 23. DOI 10.6092/unibo/amsacta/2625.

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Abstract

Some new results about multidimensional Topological Persistence are presented, proving that the discontinuity points of a $k$-dimensional size function are necessarily related to the pseudocritical values of the associated measuring function.

Abstract
Document type
Monograph (Technical Report)
Creators
CreatorsAffiliationORCID
Cerri, Andrea
Frosini, Patrizio
Keywords
Multidimensional size function, Size Theory, Topological Persistence
Subjects
Area 01 - Scienze matematiche e informatiche > MAT/03 Geometria
DOI
10.6092/unibo/amsacta/2625
Deposit date
17 Sep 2009 08:28
Last modified
16 May 2011 12:11
URI
https://amsacta.unibo.it/id/eprint/2625

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