The coarse Novikov conjecture for coarse fibrations over Banach spaces with Property (H)

Zheng Luo; Qin Wang; Yazhou Zhang

doi:10.1007/s43034-022-00187-4

The coarse Novikov conjecture for coarse fibrations over Banach spaces with Property (H)

Zheng Luo^*
, Qin Wang
, Yazhou Zhang

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

1 Scopus citations

Abstract

In this paper, we show that if a metric space X with bounded geometry admits a “CE-by-H” coarse fibration, then the coarse Novikov conjecture holds for X.

Original language	English
Article number	47
Journal	Annals of Functional Analysis
Volume	13
Issue number	3
DOIs	https://doi.org/10.1007/s43034-022-00187-4
State	Published - Jul 2022

Keywords

Coarse Novikov conjecture
Coarse fibration
Property (H)

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10.1007/s43034-022-00187-4

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@article{19b15ef879474359b79a1e37ca7b09fa,

title = "The coarse Novikov conjecture for coarse fibrations over Banach spaces with Property (H)",

abstract = "In this paper, we show that if a metric space X with bounded geometry admits a “CE-by-H” coarse fibration, then the coarse Novikov conjecture holds for X.",

keywords = "Coarse Novikov conjecture, Coarse fibration, Property (H)",

author = "Zheng Luo and Qin Wang and Yazhou Zhang",

note = "Publisher Copyright: {\textcopyright} 2022, Tusi Mathematical Research Group (TMRG).",

year = "2022",

month = jul,

doi = "10.1007/s43034-022-00187-4",

language = "英语",

volume = "13",

journal = "Annals of Functional Analysis",

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T1 - The coarse Novikov conjecture for coarse fibrations over Banach spaces with Property (H)

AU - Luo, Zheng

AU - Wang, Qin

AU - Zhang, Yazhou

PY - 2022/7

Y1 - 2022/7

N2 - In this paper, we show that if a metric space X with bounded geometry admits a “CE-by-H” coarse fibration, then the coarse Novikov conjecture holds for X.

AB - In this paper, we show that if a metric space X with bounded geometry admits a “CE-by-H” coarse fibration, then the coarse Novikov conjecture holds for X.

KW - Coarse Novikov conjecture

KW - Coarse fibration

KW - Property (H)

UR - https://www.scopus.com/pages/publications/85132137436

U2 - 10.1007/s43034-022-00187-4

DO - 10.1007/s43034-022-00187-4

M3 - 文章

AN - SCOPUS:85132137436

SN - 2639-7390

VL - 13

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

IS - 3

M1 - 47

ER -

The coarse Novikov conjecture for coarse fibrations over Banach spaces with Property (H)

Abstract

Keywords

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