665 research outputs found
An Interview with Naoki Kasuga
No full textProfessor Naoki Kasuga is the editor of the Anthropology as critique of reality. He has worked at Hitotsubashi University since 2010, when he moved from a position at Osaka University. In many ways Kasuga is a unique figure in Japanese anthropology. He is the author of a series of experimental and highly divergent works, and he was one of the translators of Writing culture into Japanese. This interview weaves together a discussion of Kasuga's own trajectory with a story of some broader transformations in Japanese anthropology that have lead to current explorations of ontology
On realization problems of graphs as Reeb graphs of smooth functions with prescribed preimages (Singularity theory of smooth maps and its applications)
No full text（可微分）多様体を，その上の，自身より次元の高くない空間への良い（可微分）写像を用いてみ，調べるという手法は，自然で重要である．主に多様体の幾何学で多くの大きな面白い貞献をしてきており今もし続けている．その際，逆像の連結成分からなる定義域の多様体の商空間Reeb空間が多くの場面で重要な道具となる．本稿では，関連した自然で重要な間題，与えられたグラフを性質の良い可微分関数のReeb空間として実現できるかというSharkoが創始した問題，特に最近本質的に著者自身が創始したと考える，逆像が指定したものになるように実現できるかという間題について知られた結果得られた結果も含め紹介する．なお，本稿の多くは[13]とも記述や内容が多く重複していることを添えておく．ただし，後半のMain Theorem 3等新たに加わった記述も存在する
Special generic maps on closed and simply-connected manifolds of dimension 6 (Extension of the Singularity theory)
No full text本内容は、京都大学数理解析研究所国際共同利用・共同研究拠点事業の一環として実施された研究集会「特異点論の展開」の著者自身による「“同題名”の講演」に関連した報告である
LIFTING FOLD MAPS TO IMMERSIONS, EMBEDDINGS AND FOLD MAPS (Research on topology and differential geometry using singularity theory of differentiable maps)
No full textEfficacy of dapagliflozin versus sitagliptin on cardiometabolic risk factors in Japanese patients with type 2 diabetes: A prospective, randomized study(DIVERSITY-CVR)
No full text主査 : 上芝元 / タイトル : Efficacy of dapagliflozin versus sitagliptin on cardiometabolic risk factors in Japanese patients with type 2 diabetes: A prospective, randomized study(DIVERSITY-CVR) /著者 : Ayako Fuchigami, Fumika Shigiyama, Toru Kitazawa, Yosuke Okada, Takamasa Ichijo, Mariko Higa, Toru Hiyoshi, Ikuo Inoue, Kaoru Iso, Hidenori Yoshii, Takahisa Hirose, Naoki Kumashiro /掲載誌 : Cardiovascular Diabetology /巻号・発行年等 : 19:1, 2020 /本文ファイル: 出版者
On Reeb graphs induced from smooth functions on 3-dimensional closed manifolds which may not be orientable
No full textThe Reeb space of a smooth function is a topological and combinatoric object and fundamental and important in understanding topological and geometric properties of the manifold of the domain. It is the graph and a topological space endowed with a natural topology. This is defined as the quotient space of the manifold of the domain where the equivalence relation is as follows: two points in the manifold are equivalent if and only if they are in a same connected component of a level set or a preimage. In considerable cases they are graphs (Reeb graphs): if the function is a so-called Morse(-Bott) functions for example, then this is the graph such that a point is a vertex if and only if the corresponding connected component of the level set contains some singular points.
The author previously constructed explicit smooth functions on suitable 3-dimensional connected, closed and orientable manifolds whose Reeb graphs are isomorphic to prescribed graphs and whose preimages are as prescribed types. This gives a new answer to so-called realization problems of graphs as Reeb graphs of smooth functions of suitable classes. The present paper concerns a variant in the case where the 3-dimensional manifolds may not be non-orientable extending the result before. \end{abstract}15 pages, this extends a main result of the paper (arXiv:1902.08841) of the author, accepted for publication by Topological Methods in Nonlinear Anal. recently, by applying some arguments here and new methods, this version is submitted to a refereed journal, the title has been change
Notes on Reeb graphs of real algebraic functions which may not be planar
No full textThe Reeb graph of a smooth function is a graph being a natural quotient space
of the manifold of the domain and the space of all connected components of
preimages. Such a combinatorial and topological object roughly and compactly
represents the manifold. Since the proposal by Sharko in 2006, reconstructing
nice smooth functions and the manifolds from finite graphs in such a way that
the Reeb graphs are the graphs has been important. The author has launched new
studies on this, discussing construction of real algebraic functions. We
concentrate on Reeb graphs we cannot realize as (natural) planar graphs here.
Previously the graphs were planar and embedded in the plane naturally.Comment: 16 pages, 2 figures, an error in Main Theorem 1 corrected, Example 2
is also an example for this, some proofs such as the proof of Main Theorem 1
etc. revise
Explicit real algebraic functions which may have both compact and non-compact preimages
No full textAs a pioneering work we construct explicit real algebraic functions which may
have both compact and non-compact preimages.
The author has obtained explicit real algebraic functions with preimages
satisfying some nice conditions. More precisely, we have given answers to a
considerably revised version of Sharko's question. Sharko originally asked
whether we can have nice smooth functions whose Reeb graphs are as desired. The
Reeb graph of a smooth function of a certain nice class is a natural graph
whose underlying space is the space of all connected components. Such graphs
can have some important topological information of the manifolds.
Our answers are new in having real algebraic functions on non-compact
manifolds with no boundaries. We also avoid using so-called existence theory
and approximation theory whereas we also avoid in our previous studies.Comment: 11 pages, 2 figures, errors corrected whereas main results do not
change, several exposition added, this version is submitted to a refereed
journa
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