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Math Forum » Discussions » Math Topics » alt.math.undergrad.independent

Topic: Problem from Willard's _General Topology_
Replies: 8   Last Post: Jan 11, 2014 8:54 PM

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Michael F. Stemper

Posts: 108
Registered: 9/5/13
Re: Ordered n-tuplets
Posted: Jan 11, 2014 2:20 PM
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On 01/10/2014 09:41 PM, William Elliot wrote:
> On Fri, 10 Jan 2014, Michael F. Stemper wrote:
>
> Williard, problem 1D.1.
>
> (a1,a2) = { {a1}, {a1,a2} }
> (a1,.. a_(j+1)) = ( (a1,.. aj), a_(j+1) ).
>
> Problem. Is
> (a1,.. aj) = { {a1}, {a1,a2}, {a1,a2,a3},.. {a1,a2,.. aj} }
> an ordered j-tuplet?

No; Brian's already pointed out the flaw in my definition.

--
Michael F. Stemper
Outside of a dog, a book is man's best friend.
Inside of a dog, it's too dark to read.

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