4 citations · 8 across the 5 of their papers we have counts for
17 papers
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…
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…
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…
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…