Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sorry if this is too trivial:

I need an actual working definition of the term: Hopf band. I see references to it

in many searches, but never an actual precise definition. All I know so far is that it

is a Seifert surface for the Hopf link ( the disjoint union of two unknots $S^1$) , but this obviously

does not narrow things enough to an actual definition, since there is more than one

Seifert surface for every unknot. I've spent around an hour looking for a precise working definition.

How do people actually find these definitions?

Thanks.

EDIT: I found a "definition" ( a picture, aka, 1000 words ) in page 135 of: http://books.google.com/books?id=mbXi8kC7DIMC&pg=PA134&dq=hopf+band&hl=en&sa=X&ei=GydsU8YR6sewBPOpgYgG&ved=0CDkQ6AEwAg#v=onepage&q=hopf%20band&f=false

I did not know one could do a search over all books. I'll try to remember that.

share|improve this question
    
It's a band with a full $2\pi$ twist in it. –  Grumpy Parsnip May 9 at 0:43
    
@Grumpy Parsnip .Thanks; a meta-question: how does one find a precise definitions for these terms? I searched for this for around one hour. And I've had similar problems finding precise technical definitions. –  user99680 May 9 at 0:45
    
I think girls call it a "skipping rope". –  Pedro Tamaroff May 9 at 0:55
    
@Pedro, Grumpy: Thanks; I found the answer in Google books; I did not know one could search for the term over all books. It is here: books.google.com/… –  user99680 May 9 at 0:57
    
By band, I assume this is a twisted 2-handle, right? –  user99680 May 9 at 1:01

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.