|
This article is available for purchase or by subscription. See below.
Abstract
|
|
By a construction of Berstein and Edmonds every proper branched cover
between manifolds is a factor of a branched covering orbit map from a locally
connected and locally compact Hausdorff space called the monodromy space of
to the target manifold. For proper branched covers between
-manifolds
the monodromy space is known to be a manifold. We show that this does not generalize to
dimension
by constructing a self-map of the 3-sphere for which the monodromy space is not a
locally contractible space.
|
PDF Access Denied
We have not been able to recognize your IP address
216.73.216.116
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
branched covering, monodromy space
|
Mathematical Subject Classification
Primary: 57M12
Secondary: 30C65
|
Milestones
Received: 2 December 2016
Revised: 29 April 2022
Accepted: 12 June 2022
Published: 28 August 2022
|
|
