Hyperbolic metric spaces and the exotic cohomology Novikov conjecture

John Roe

doi:10.1007/BF00538881

Hyperbolic metric spaces and the exotic cohomology Novikov conjecture

John Roe

Mathematics

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

17 Scopus citations

Abstract

A geometric version of the Novikov conjecture states that certain cohomology classes of a complete metric space arise from an ideal boundary. We prove this for spaces hyperbolic in the sense of Gromov.

Original language	English (US)
Pages (from-to)	501-512
Number of pages	12
Journal	K-Theory
Volume	4
Issue number	6
DOIs	https://doi.org/10.1007/BF00538881
State	Published - Nov 1990

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/BF00538881

Cite this

@article{b83d71c58ab24fd48a1e5446a8a3dcce,

title = "Hyperbolic metric spaces and the exotic cohomology Novikov conjecture",

abstract = "A geometric version of the Novikov conjecture states that certain cohomology classes of a complete metric space arise from an ideal boundary. We prove this for spaces hyperbolic in the sense of Gromov.",

author = "John Roe",

year = "1990",

month = nov,

doi = "10.1007/BF00538881",

language = "English (US)",

volume = "4",

pages = "501--512",

journal = "K-Theory",

issn = "0920-3036",

publisher = "Kluwer Academic Publishers",

number = "6",

}

TY - JOUR

T1 - Hyperbolic metric spaces and the exotic cohomology Novikov conjecture

AU - Roe, John

PY - 1990/11

Y1 - 1990/11

N2 - A geometric version of the Novikov conjecture states that certain cohomology classes of a complete metric space arise from an ideal boundary. We prove this for spaces hyperbolic in the sense of Gromov.

AB - A geometric version of the Novikov conjecture states that certain cohomology classes of a complete metric space arise from an ideal boundary. We prove this for spaces hyperbolic in the sense of Gromov.

UR - http://www.scopus.com/inward/record.url?scp=0007378907&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0007378907&partnerID=8YFLogxK

U2 - 10.1007/BF00538881

DO - 10.1007/BF00538881

M3 - Article

AN - SCOPUS:0007378907

SN - 0920-3036

VL - 4

SP - 501

EP - 512

JO - K-Theory

JF - K-Theory

IS - 6

ER -

Hyperbolic metric spaces and the exotic cohomology Novikov conjecture

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this