Almost Minimal Morsifications of Functions of Two Real Variables

Key Points

• Morsifications successfully create functions with exactly one real extremum point, indicating strong control over their behavior.
• These functions are specific to real analytic cases, where a unique extremum point enhances their defined characteristics.
• The methodology includes constructing level sets with smooth branches, ensuring mathematical robustness in analysis and application.
• This work highlights the relationship between group actions and function properties, suggesting broader implications for invariant functions.