24 citations · 171 across the 71 of their papers we have counts for
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The images of special generic maps of an elementary class
Naoki Kitazawa
The class of special generic maps contains Morse functions with exactly two singular points, characterizing spheres topologically which are not -dimensional and the -dimensio…
Notes on explicit special generic maps into Eulidean spaces whose dimensions are greater than 4
Naoki Kitazawa
Special generic maps are higher dimensional versions of Morse functions with exactly two singular points, characterizing spheres topologically except 4-dimensional cases and 4-dime…
New explicit construction of fold maps on general 7-dimensional closed and simply-connected spin manifolds
Naoki Kitazawa
7-dimensional closed and simply-connected manifolds have been attractive as central and explicit objects in algebraic topology and differential topology of higher dimensional close…
Closed manifolds admitting no special generic maps whose codimensions are negative and their cohomology rings
Naoki Kitazawa
Special generic maps are higher dimensional versions of Morse functions with exactly two singular points, characterizing spheres topologically except -dimensional cases: in thes…
7-dimensional simply-connected spin manifolds whose integral cohomology rings are isomorphic to that of admit round fold maps
Naoki Kitazawa
We have been interested in understanding the class of 7-dimensional closed and simply-connected manifolds in geometric and constructive ways. We have constructed explicit fold maps…
Special generic maps and fold maps and information on triple Massey products of higher dimensional differentiable manifolds
Naoki Kitazawa
Closed (and simply-connected) manifolds whose dimensions are larger than 4 are central geometric objects in classical algebraic topology and differential topology. They have been c…
Realizing a homology class of a compact manifold by a homology class of an explicit closed submanifold--a new approach to Thom's works on homology classes of submanifolds-
Naoki Kitazawa
It is a classical important problem of differential topology by Thom; for a homology class of a compact manifold, can we realize this by a closed submanifold with no boundary? This…
Explicit fold maps on 7-dimensional closed and simply-connected spin manifolds of new classes
Naoki Kitazawa
Closed (and simply-connected) manifolds whose dimensions are greater than 4 are classified via sophisticated algebraic and abstract theory such as surgery theory and homotopy theor…
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…
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…