Naoki Kitazawa

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math.GT2026

Morse functions with regular level sets consisting of $2$ -dimensional spheres, $2$ -dimensional tori, or Klein Bottles

Naoki Kitazawa

In this paper, we study Morse functions with regular level sets consisting of spheres, tori, or Klein Bottles on $3$ -dimensional closed manifolds. We characterize $3$ -dimensional m…

math.GT2026

On reconstructing Morse functions with prescribed level sets on $3$ -dimensional manifolds and a necessary and sufficient condition for the reconstruction

Naoki Kitazawa

We discuss a necessary and sufficient condition for reconstruction of Morse functions with prescribed (regular) level sets on $3$ -dimensional manifolds. The present work strengthen…

math.GT2025

On reconstructing Morse-Bott functions with prescribed preimages on $3$ -dimensional manifolds and conditions for the reconstruction

Naoki Kitazawa

We present conditions for reconstruction of Morse-Bott functions with prescribed preimages on $3$ -dimensional manifolds. The present work strengthens a previous result for the Mors…

Morse functions with regular level sets consisting of 2-dimensional spheres, 2-dimensional tori, or Klein Bottles

On reconstructing Morse functions with prescribed level sets on 3-dimensional manifolds and a necessary and sufficient condition for the reconstruction

On reconstructing Morse-Bott functions with prescribed preimages on 3-dimensional manifolds and conditions for the reconstruction

Morse functions with regular level sets consisting of $2$ -dimensional spheres, $2$ -dimensional tori, or Klein Bottles

On reconstructing Morse functions with prescribed level sets on $3$ -dimensional manifolds and a necessary and sufficient condition for the reconstruction

On reconstructing Morse-Bott functions with prescribed preimages on $3$ -dimensional manifolds and conditions for the reconstruction