CORE
🇺🇦Â
 make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
research
Only rational homology spheres admit
Ω
(
f
)
\Omega(f)
Ω
(
f
)
to be union of DE attractors
Authors
Fan Ding
Jianzhong Pan
Shicheng Wang
Jiangang Yao
Publication date
5 September 2009
Publisher
Doi
Cite
View
on
arXiv
Abstract
If there exists a diffeomorphism
f
f
f
on a closed, orientable
n
n
n
-manifold
M
M
M
such that the non-wandering set
Ω
(
f
)
\Omega(f)
Ω
(
f
)
consists of finitely many orientable
(
±
)
(\pm)
(
±
)
attractors derived from expanding maps, then
M
M
M
must be a rational homology sphere; moreover all those attractors are of topological dimension
n
−
2
n-2
n
−
2
. Expanding maps are expanding on (co)homologies.Comment: 23 pages, 2 figure
Similar works
Full text
Available Versions
Institutional Repository of Peking University
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:localhost:20.500.11897/314...
Last time updated on 20/04/2018