PlanetMath (more info)
 Math for the people, by the people.
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions

meta
Requests (200)
Orphanage
Unclass'd
Unproven (490)
Corrections (6)
Classification

talkback
Polls
Forums
Feedback
Bug Reports

downloads
Snapshots
PM Book

information
News
Docs
Wiki
ChangeLog
TODO List
Legalese
About
Owner confidence rating: Very high Entry average rating: No information on entry rating
[parent] mirror image of a knot (Definition)

The mirror image of a knot $ K$ is the knot $ K'$ whose diagram obtained by changing all the crossings in a diagram of $ K$. This notion is well defined since Reidemeister moves are preserved under mirror images.



"mirror image of a knot" is owned by Mathprof. [ full author list (2) | owner history (1) ]
(view preamble)

View style:

Also defines:  mirror image

This object's parent.
Log in to rate this entry.
(view current ratings)

Cross-references: Reidemeister moves, well defined, knot
There are 5 references to this entry.

This is version 3 of mirror image of a knot, born on 2006-12-22, modified 2007-02-05.
Object id is 8662, canonical name is MirrorImageOfAKnot.
Accessed 861 times total.

Classification:
AMS MSC: 57M25 (Manifolds and cell complexes :: Low-dimensional topology :: Knots and links in $S^3$)
Pending Errata and Addenda
None.
[ View all 2 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add derivation | add example | add (any)