On λ-rings and the K-theory of infinite loop spaces

K-Theory ◽  
1996 ◽  
Vol 10 (1) ◽  
pp. 1-30 ◽  
Author(s):  
A. K. Bousfeld
Keyword(s):  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop ◽  
K Theory

scholarly journals Infinite loop spaces and nilpotent K–theory

2017 ◽  
Vol 17 (2) ◽  
pp. 869-893 ◽  
Author(s):  
Alejandro Adem ◽  
José Gómez ◽  
John Lind ◽  
Ulrike Tillmann
Keyword(s):  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop ◽  
K Theory

scholarly journals ¡+-structures—II: a recognition principle for infinite loop spaces

Topology ◽  
1974 ◽  
Vol 13 (2) ◽  
pp. 113-126 ◽  
Author(s):  
M.G. Barratt ◽  
Peter J. Eccles
Keyword(s):  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop

On the quotients of mapping class groups of surfaces by the Johnson subgroups

2019 ◽  
pp. 1-23
Author(s):  
TOMÁŠ ZEMAN
Keyword(s):  
Boundary Component ◽  
Loop Space ◽  
Mapping Class Groups ◽  
Mapping Class ◽  
Classifying Spaces ◽  
Class Groups ◽  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop ◽  
Plus Construction

Abstract We study quotients of mapping class groups ${\Gamma _{g,1}}$ of oriented surfaces with one boundary component by the subgroups ${{\cal I}_{g,1}}(k)$ in the Johnson filtrations, and we show that the stable classifying spaces ${\mathbb {Z}} \times B{({\Gamma _\infty }/{{\cal I}_\infty }(k))^ + }$ after plus-construction are infinite loop spaces, fitting into a tower of infinite loop space maps that interpolates between the infinite loop spaces ${\mathbb {Z}} \times B\Gamma _\infty ^ + $ and ${\mathbb {Z}} \times B{({\Gamma _\infty }/{{\cal I}_\infty }(1))^ + } \simeq {\mathbb {Z}} \times B{\rm{Sp}}{({\mathbb {Z}})^ + }$ . We also show that for each level k of the Johnson filtration, the homology of these quotients with suitable systems of twisted coefficients stabilises as the genus of the surface goes to infinity.

INFINITE LOOP SPACES

1979 ◽  
Vol 11 (3) ◽  
pp. 363-364
Author(s):  
John Hubbuck
Keyword(s):  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop

scholarly journals On a spectral sequence for the cohomology of infinite loop spaces

2016 ◽  
Vol 16 (5) ◽  
pp. 2911-2947 ◽  
Author(s):  
Rune Haugseng ◽  
Haynes Miller
Keyword(s):  
Spectral Sequence ◽  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop

scholarly journals Infinite loop spaces, and coherence for symmetric monoidal bicategories

2013 ◽  
Vol 246 ◽  
pp. 1-32 ◽  
Author(s):  
Nick Gurski ◽  
Angélica M. Osorno
Keyword(s):  
Loop Spaces ◽  
Infinite Loop Spaces ◽  
Infinite Loop ◽  
Monoidal Bicategories
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