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math.AG2026
Compactifying real analytic functions and resulting Reeb spaces
Naoki Kitazawa
We formulate compactifications of continuous maps naturally. We consider real analytic functions mainly. We are interested in topological properties and combinatorial ones of expli…
math.AG2026
Representations of Reeb spaces via simplified graphs and examples
Naoki Kitazawa
Reeb spaces of continuous real-valued functions on topological spaces are fundamental and strong tools in investigating the spaces. The Reeb space is the natural quotient space of…