42 citations · 70 across the 12 of their papers we have counts for
10 papers · 1 filter
Stellar Stratifications on Classifying Spaces
Dai Tamaki, Hiro Lee Tanaka
We extend Björner'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 co…
Discrete Morse theory and classifying spaces
Vidit Nanda, Dai Tamaki, Kohei Tanaka
The aim of this paper is to develop a refinement of Forman's discrete Morse theory. To an acyclic partial matching on a finite regular CW complex , Forman introduced a discr…
Cellular stratified spaces
Dai Tamaki
The notion of cellular stratified spaces was introduced in a joint work of the author with Basabe, Gonz{á}lez, and Rudyak with the aim of constructing a cellular model of the confi…
Totally normal cellular stratified spaces and applications to the configuration space of graphs
Mizuki Furuse, Takashi Mukouyama, Dai Tamaki
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 cellul…
Cellular Stratified Spaces II: Basic Constructions
Dai Tamaki
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 cellu…
Cellular Stratified Spaces I: Face Categories and Classifying Spaces
Dai Tamaki
The notion of cellular stratified spaces was introduced in a joint work of the author with Basabe, González, and Rudyak [1009.1851] with the aim of constructing a cellular model of…