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Topic: Simple analytical properties of n/d
Replies: 20   Last Post: Mar 11, 2013 11:01 PM

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Shmuel (Seymour J.) Metz

Posts: 3,357
Registered: 12/4/04
Re: Simple analytical properties of n/d
Posted: Mar 10, 2013 10:29 AM
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In <Pine.NEB.4.64.1303070027340.14344@panix3.panix.com>, on 03/07/2013
at 12:38 AM, William Elliot <marsh@panix.com> said:

>What's a pointed disk?

(D,d), where d \in interior D[1].

>R^2\(0,0) is neither a disk nor pointed; it's a punctured plain.

ITYM punctured plane; it's homeomorphic to a punctured disk.

>No. The image of f is R.

What's f^{-1}(0)?

[1] The definition works for both open and closed disks.

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