Enriched Riemann sphere, Morse stability and equi‐singularity in 𝒪 2 | Zendy

Kuo Tzee-Char | Zendy; Paunescu Laurentiu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Enriched Riemann sphere, Morse stability and equi‐singularity in 𝒪 2

Author(s) -

Kuo Tzee-Char,

Paunescu Laurentiu

Publication year - 2012

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/jdr049

Subject(s) - riemann sphere , mathematics , morse code , infinitesimal , pure mathematics , singularity , stability (learning theory) , mathematical analysis , riemann surface , computer science , telecommunications , machine learning

The Enriched Riemann Sphere ℂ P * 1 is ℂ P 1 plus a set of infinitesimals , having coordinates in the Newton–Puiseux field . Complex analysis is extended to the ‐ analysis ( Newton–Puiseux Analysis ). The classical Morse Stability Theorem is also extended; the stability idea is used to formulate an equi‐singular deformation theorem in ℂ{ x, y } (= 2 ).

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research