4 citations · 9 across the 14 of their papers we have counts for
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Surgery operations to fold maps to construct fold maps whose restrictions to the singular sets may not be embeddings
Naoki Kitazawa
Constructing Morse functions and their higher dimensional versions or fold maps is fundamental, important and challenging in investigating the topologies and the differentiable str…
An elementary study on realizable changes of homology groups of Reeb spaces of fold maps by fundamental surgery operations
Naoki Kitazawa
In the singularity and differential topological theory of Morse functions and higher dimensional versions or fold maps and application to algebraic and differential topology of man…
Explicit remarks on the torsion subgroups of homology groups of Reeb spaces of explicit fold maps
Naoki Kitazawa
Fold maps are higher dimensional versions of Morse functions and fundamental and important tools in studying algebraic and differential topological properties of manifolds: as the…
Structures of cobordism-like modules induced from generic maps of codimension -2
Naoki Kitazawa
The Reeb space of a smooth map whose codimension is minus is the space defined as the space of all connected components of inverse images. For generic maps such as Morse functions…
Notes on fold maps obtained by surgery operations and algebraic information of their Reeb spaces
Naoki Kitazawa
The theory of Morse functions and their higher dimensional versions or fold maps on manifolds and its application to geometric theory of manifolds is one of important branches of g…
A new explicit way of obtaining special generic maps into the 3-dimensional Euclidean space
Naoki Kitazawa
A special generic map is a smooth map regarded as a natural generalization of Morse functions with just 2 singular points on homotopy spheres. Canonical projections of unit spheres…