This article is available for purchase or by subscription. See below.
Abstract
|
Bredon and Wood have given a complete answer to the embeddability question for
nonorientable surfaces in lens spaces. They formulate their result in terms of
a recursive formula that determines, for a given lens space, the minimal
genus of embeddable nonorientable surfaces. Here we give a direct proof
that, amongst lens spaces as target manifolds, the Klein bottle embeds into
only.
We describe four explicit realisations of these embeddings.
|
PDF Access Denied
We have not been able to recognize your IP address
3.145.101.192
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 30.00:
Keywords
Klein bottle, lens space, embedding, Seifert fibration
|
Mathematical Subject Classification
Primary: 57R40, 57K30, 57M99
|
Milestones
Received: 13 May 2022
Accepted: 11 August 2022
Published: 31 October 2023
Communicated by Colin Adams
|
© 2023 MSP (Mathematical Sciences
Publishers). |
|