Zobrazeno 1 - 10
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pro vyhledávání: '"Tamaki, Dai"'
Given a finite quiver (directed graph) without loops and multiedges, the convex hull of the column vector of the incidence matrix is called the directed edge polytope and is an interesting example of lattice polytopes. In this paper, we give a comple
Externí odkaz:
http://arxiv.org/abs/2203.14521
Autor:
Ohara, Mariko, Tamaki, Dai
In an intriguing paper arXiv:math/0509083 Khovanov proposed a generalization of homological algebra, called Hopfological algebra. Since then, several attempts have been made to import tools and techiniques from homological algebra to Hopfological alg
Externí odkaz:
http://arxiv.org/abs/2012.07159
Autor:
Kaul, Manohar, Tamaki, Dai
In this paper, we propose a new homological method to study weighted directed networks. Our model of such networks is a directed graph $Q$ equipped with a weight function $w$ on the set $Q_{1}$ of arrows in $Q$. We require that the range $W$ of our w
Externí odkaz:
http://arxiv.org/abs/2009.12928
Autor:
Tamaki, Dai, Tanaka, Hiro Lee
We extend Bj\"orner's characterization of the face poset of finite CW complexes to a certain class of stratified spaces, called cylindrically normal stellar complexes. As a direct consequence, we obtain a discrete analogue of cell decompositions in s
Externí odkaz:
http://arxiv.org/abs/1804.11274
The aim of this paper is to develop a refinement of Forman's discrete Morse theory. To an acyclic partial matching $\mu$ on a finite regular CW complex $X$, Forman introduced a discrete analogue of gradient flows. Although Forman's gradient flow has
Externí odkaz:
http://arxiv.org/abs/1612.08429
Autor:
Tamaki, Dai
The notion of cellular stratified spaces was introduced in a joint work of the author with Basabe, Gonz{\'a}lez, and Rudyak with the aim of constructing a cellular model of the configuration space of a sphere. Although the original aim was not achiev
Externí odkaz:
http://arxiv.org/abs/1609.04500
The notion of regular cell complexes plays a central role in topological combinatorics because of its close relationship with posets. A generalization, called totally normal cellular stratified spaces, was introduced by the third author by relaxing t
Externí odkaz:
http://arxiv.org/abs/1312.7368
Autor:
Tamaki, Dai
This is a sequel to [1106.3772], in which a systematic study of cellular stratified spaces and related concepts was initiated. In this paper, we study important operations on cellular and stellar stratified spaces, including taking subspaces, subdivi
Externí odkaz:
http://arxiv.org/abs/1111.4774
Autor:
Tamaki, Dai
The notion of cellular stratified spaces was introduced in a joint work of the author with Basabe, Gonz\'alez, and Rudyak [1009.1851] with the aim of constructing a cellular model of the configuration space of a sphere. In particular, it was shown th
Externí odkaz:
http://arxiv.org/abs/1106.3772
Publikováno v:
Algebr. Geom. Topol. 14 (2014) 2103-2124
We develop the properties of the $n$-th sequential topological complexity $TC_n$, a homotopy invariant introduced by the third author as an extension of Farber's topological model for studying the complexity of motion planning algorithms in robotics.
Externí odkaz:
http://arxiv.org/abs/1009.1851