24 citations · 171 across the 71 of their papers we have counts for
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math.KT2020★ 6 cited
Surgery operations to fold maps to increase connected components of singular sets by two
Naoki Kitazawa
In geometry, understanding the topologies and the differentiable structures of manifolds in constructive ways is fundamental and important. It is in general difficult, especially f…
math.KT2019★ 5 cited
New observations on cohomology rings of Reeb spaces of explicit fold maps and manifolds admitting these maps
Naoki Kitazawa
As a branch of algebraic and differential topology of manifolds, the theory of Morse functions and their higher dimensional versions or fold maps and its application to algebraic a…
math.KT2015★ 19 cited
Constructing fold maps by surgery operations and their Reeb spaces
Naoki Kitazawa
In this paper, as a fundamental study on the theory of Morse functions and their higher dimensional versions or fold maps and applications to geometric theory of manifolds, which w…