On coarse embeddability into ${\ell }_p$-spaces and a conjecture of Dranishnikov

Piotr W. Nowak. "On coarse embeddability into $ℓ_p$-spaces and a conjecture of Dranishnikov." Fundamenta Mathematicae 189.2 (2006): 111-116. <http://eudml.org/doc/282754>.

@article{PiotrW2006,
abstract = {We show that the Hilbert space is coarsely embeddable into any $ℓ_p$ for 1 ≤ p ≤ ∞. It follows that coarse embeddability into ℓ₂ and into $ℓ_p$ are equivalent for 1 ≤ p < 2.},
author = {Piotr W. Nowak},
journal = {Fundamenta Mathematicae},
keywords = {coarse embedding; Property A; Novikov conjecture},
language = {eng},
number = {2},
pages = {111-116},
title = {On coarse embeddability into $ℓ_p$-spaces and a conjecture of Dranishnikov},
url = {http://eudml.org/doc/282754},
volume = {189},
year = {2006},
}

TY - JOUR
AU - Piotr W. Nowak
TI - On coarse embeddability into $ℓ_p$-spaces and a conjecture of Dranishnikov
JO - Fundamenta Mathematicae
PY - 2006
VL - 189
IS - 2
SP - 111
EP - 116
AB - We show that the Hilbert space is coarsely embeddable into any $ℓ_p$ for 1 ≤ p ≤ ∞. It follows that coarse embeddability into ℓ₂ and into $ℓ_p$ are equivalent for 1 ≤ p < 2.
LA - eng
KW - coarse embedding; Property A; Novikov conjecture
UR - http://eudml.org/doc/282754
ER -