Necessary Conditions for Discontinuities of Multidimensional Size Functions

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.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Andrea Cerri, Patrizio Frosini
• Keywords: Associated Measuring Function, CORR 2008, Education, K-dimensional Size Function, Multidimensional Topological Persistence