Decomposition spaces and poset-stratified spaces
type: Item
instance of: scholarly article
title: Decomposition spaces and poset-stratified spaces
author: Shoji Yokura
published in: Tbilisi Mathematical Journal
publication date: 2022-10-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1912.00339
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 18A99
Mathematics Subject Classification ID: 54B15
Mathematics Subject Classification ID: 54B99
Mathematics Subject Classification ID: 55P99
zbMATH DE Number: 7600318
zbMATH Keywords: Alexandroff topology
zbMATH Keywords: decomposition space
zbMATH Keywords: poset
zbMATH Keywords: poset-stratified space
zbMATH Keywords: stratification
zbMATH Keywords: Yoneda's lemma
MaRDI profile type: Publication
OpenAlex ID: W3037186485
cites work: On the classification of fiber spaces
cites work: Q4261832
cites work: Local structures on stratified spaces
cites work: Algebraic topology of finite topological spaces and applications
cites work: A decomposition of \(E^ 3\) into points and tame arcs such that the decomposition space is topologically different from \(E^ 3\)
cites work: The Cartesian product of a certain nonmanifold and a line is \(E^4\)
cites work: Q5848689
cites work: Q5848690
cites work: Q3747347
cites work: Principal quasifibrations and fibre homotopy equivalence of bundles
cites work: Q4505020
cites work: Q4819371
cites work: Note on quasi-Lie rings
cites work: On some contributions of Karol Borsuk to homotopy theory
cites work: Duality in homotopy theory: A retrospective essay
cites work: Stratified path spaces and fibrations
cites work: Perverse sheaves over real hyperplane arrangements
cites work: Singular homology groups and homotopy groups of finite topological spaces
cites work: Q4482418
cites work: Characteristic Classes. (AM-76)
cites work: Q4003206
cites work: A classification theorem for fibre spaces
cites work: Finite Topological Spaces
cites work: CELLULAR STRATIFIED SPACES
cites work: Q3791891
cites work: The fundamental category of a stratified space
cites work: A PROSET STRUCTURE INDUCED FROM HOMOTOPY CLASSES OF MAPS AND A CLASSIFICATION OF FIBRATIONS
cites work: Poset-stratified space structures of homotopy sets
DOI: 10.32513/TBILISI/1593223222
description: scientific article; zbMATH DE number 7600318