Results 1 to 1 of 1

Math Help - Simple set theory problem - definition of a J-Tuple

  1. #1
    Super Member Bernhard's Avatar
    Joined
    Jan 2010
    From
    Hobart, Tasmania, Australia
    Posts
    559
    Thanks
    2

    Simple set theory problem - definition of a J-Tuple

    On page 113 Munkres (Topology: Second Edition) defines a J-tuple as follows:

    Simple set theory problem - definition of a J-Tuple-munkres-definition-j-tuple-coordinate-page-113.png

    I was somewhat perplexed when I tried to completely understand the function  \ x \ : \ J \to X .

    I tried to write down some specific and concrete examples but still could not see exactly how the function would work.

    For example if  J = \{1, 2, 3 \}  and X was just the collection of all the letters of the alphabet i.e.

     X = \{ a, b, c, ... \  ... \ z \} then ...

    ... obviously a map like 1 --> a, 2 --> d, 3 --> h does not work as the intention, I would imagine is to have a mapping which specifies a number of triples ... but how would this work?

    [Just to clarify what I mean: I imagined, as an example a mapping by x such that

    1 mapped to a

    2 mapped to d

    3 mapped to h

    However, although this is a mapping from J to X under the function x it does not really define a set of triples.]



    Can someone either correct my example or give a specific concrete example that works.

    Would appreciate some help.

    Peter
    Last edited by Bernhard; March 21st 2014 at 07:03 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Generating Finite State Automata - 5 Tuple
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: October 18th 2013, 05:19 AM
  2. Game theory problem (very simple)
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: October 14th 2012, 11:10 AM
  3. Tuple definition and iteration of sets
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: May 2nd 2011, 02:16 AM
  4. Help with tuple/set construction
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: June 23rd 2009, 12:41 AM
  5. Group Theory - Sylow Theory and simple groups
    Posted in the Advanced Algebra Forum
    Replies: 16
    Last Post: May 16th 2009, 12:10 PM

Search Tags


/mathhelpforum @mathhelpforum