4 citations · 9 across the 11 of their papers we have counts for
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New families of manifolds with similar cohomology rings admitting special generic maps
Naoki Kitazawa
As Reeb's theorem shows, Morse functions with exactly two singular points on closed manifolds are very simple and important. They characterize spheres whose dimensions are not …
7-dimensional closed simply-connected and spin manifolds having 2nd integral cohomology classes whose squares are not divisible by 2 and stable fold maps on them
Naoki Kitazawa
This article presents families of 7-dimensional closed and simply-connected manifolds and fold maps on them such that squares of 2nd integral cohomology classes may not be divisibl…
The topologies and the differentiable structures of the images of special generic maps having simple structures
Naoki Kitazawa
Special generic maps are smooth maps at each singular point of which we can represent as for suitable coordi…
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…