24 citations · 171 across the 71 of their papers we have counts for
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math.AT2018★ 2 cited
Investigating additional structures on preimages of regular values of smooth maps induced from the manifolds via the Reeb spaces and applications
Naoki Kitazawa
The Reeb space of a generic map is the space of all connected components of preimages of the map. Reeb spaces are fundamental and useful tools in the theory of Morse functions and…
math.AT2018★ 2 cited
Smooth maps compatible with simplicial structures and inverse images
Naoki Kitazawa
As a higher dimensional version of the theory of Morse functions, there have been various studies of smooth manifolds using generic smooth maps. As fundamental results, in these st…