Welcome to the NavList Message Boards.

NavList:

A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding

Compose Your Message

Message:αβγ
Message:abc
Add Images & Files
    or...
       
    Reply
    Re: Easy Lunars in 1790
    From: Alexandre Eremenko
    Date: 2006 Apr 28, 19:45 -0400

    Walter,
    It has to be double checked yet,
    but I suspect that in my favorite Volkovyski
    example (cited in our paper in Iberoamericana),
    all singularities are true (have branches which do not
    return when you continue on a Jordan curve),
    and there are uncountably many of them.
    So they are not K.
    
    Thus it seems that no good conjectures remain.
    
    1. True (in the sense above) cannot be on the boundary
    of the completely invariant domain.
    2. Direct implies true. (So you fixed the bug in our paper
    with Liubich).
    3. True does not imply direct. (Simple example).
    3. True implies linearly accessible.
    4. But not vice versa, by your wonderful example.
    5. True can be uncountably many (and thus true does not
    imply K).
    6. K does not imply true (Take a K-singularity described in Goldberg's
    paper. Topologically it is like (sin z)/z).
    
    What else to ask?
    
    Alex
    
    
    

       
    Reply
    Browse Files

    Drop Files

    NavList

    What is NavList?

    Join NavList

    Name:
    (please, no nicknames or handles)
    Email:
    Do you want to receive all group messages by email?
    Yes No

    You can also join by posting. Your first on-topic post automatically makes you a member.

    Posting Code

    Enter the email address associated with your NavList messages. Your posting code will be emailed to you immediately.
    Email:

    Email Settings

    Posting Code:

    Custom Index

    Subject:
    Author:
    Start date: (yyyymm dd)
    End date: (yyyymm dd)

    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site
    Visit this site