Idempotent functors and nilpotent spaces

Wojciech Chachólski; Emmanuel Dror Farjoun; Ramón Flores; Jérôme Scherer

doi:10.1007/978-3-319-45441-2_11

Idempotent functors and nilpotent spaces

Wojciech Chachólski^*
, Emmanuel Dror Farjoun
, Ramón Flores
, Jérôme Scherer

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages and, in particular, classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield–Kan homology completion tower zk X whose terms are all X-cellular for any X.

Original language	English
Pages (from-to)	63-67
Number of pages	5
Journal	Trends in Mathematics
Volume	5
DOIs	https://doi.org/10.1007/978-3-319-45441-2_11
State	Published - 2016

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2016.

Access to Document

10.1007/978-3-319-45441-2_11

Cite this

@article{7bdce379c7cc48d2b3c71ce605f88030,

title = "Idempotent functors and nilpotent spaces",

abstract = "We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages and, in particular, classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield–Kan homology completion tower zk X whose terms are all X-cellular for any X.",

author = "Wojciech Chach{\'o}lski and Farjoun, \{Emmanuel Dror\} and Ram{\'o}n Flores and J{\'e}r{\^o}me Scherer",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",

year = "2016",

doi = "10.1007/978-3-319-45441-2\_11",

language = "אנגלית",

volume = "5",

pages = "63--67",

journal = "Trends in Mathematics",

issn = "2297-0215",

publisher = "Springer International Publishing AG",

}

TY - JOUR

T1 - Idempotent functors and nilpotent spaces

AU - Chachólski, Wojciech

AU - Farjoun, Emmanuel Dror

AU - Flores, Ramón

AU - Scherer, Jérôme

PY - 2016

Y1 - 2016

N2 - We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages and, in particular, classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield–Kan homology completion tower zk X whose terms are all X-cellular for any X.

AB - We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages and, in particular, classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield–Kan homology completion tower zk X whose terms are all X-cellular for any X.

UR - https://www.scopus.com/pages/publications/85007317736

U2 - 10.1007/978-3-319-45441-2_11

DO - 10.1007/978-3-319-45441-2_11

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85007317736

SN - 2297-0215

VL - 5

SP - 63

EP - 67

JO - Trends in Mathematics

JF - Trends in Mathematics

ER -

Idempotent functors and nilpotent spaces

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this