A survey of homotopy nilpotency and co-nilpotency

A survey of homotopy nilpotency and co-nilpotency

We review known and state some new results on homotopy nilpotency and co-nilpotency of spaces. Next, we take up the systematic study of homotopy nilpotency of homogenous spaces G/K for a Lie group G and its closed subgroup K < G. The homotopy nilpotency of the loop spaces Ω(Gn,m(K)) and Ω(Vn,m(K)...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखक: Marek Golasinski
स्वरूप: लेख
भाषा:English
प्रकाशित: Odesa National University of Technology 2020-10-01
श्रृंखला:Pracì Mìžnarodnogo Geometričnogo Centru
विषय:
classical lie group
h -fibration
flag manifold
(oriented) grassmann manifold
homogenous space
homology decomposition
homotopy nilpotency (co-nilpotency) class
h -space
h0-space
n-fold commutator (co-commutator) map
p-localization
loop space
morava k-theory
postnikov system
projective space
sphere
stiefel manifold
suspension space
smash product
ऑनलाइन पहुंच:https://journals.onaft.edu.ua/index.php/geometry/article/view/1750

इंटरनेट

https://journals.onaft.edu.ua/index.php/geometry/article/view/1750

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