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Re: How many holes does a straw have?

Posted: May 31st, 2018, 7:49 am
by Collector
YUM!!!!
There are between 3 to 6 holes in bread
brEad  3 holes
BrEad 4 holes
Bread 5 holes
BRead 6 holes

Re: How many holes does a straw have?

Posted: May 31st, 2018, 11:28 am
by katastrofa
Brilliant!

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 11:01 am
by frolloos
A straw is topologically equivalent to a donut. A donut has one hole. Therefore the straw has one hole.
Is it? I thought two spaces are topologically equivalent if one can be deformed into the other without ripping / cutting the surface.

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 1:13 pm
by Cuchulainn
A straw is topologically equivalent to a donut.  A donut has one hole. Therefore the straw has one hole.
Is it? I thought two spaces are topologically equivalent if one can be deformed into the other without ripping / cutting the surface.
I thought Topology was something that only existed in topologists' minds. What a pleasant, if not somewhat worrying surprise.

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 1:34 pm
by Traden4Alpha
A straw is topologically equivalent to a donut. A donut has one hole. Therefore the straw has one hole.
Is it? I thought two spaces are topologically equivalent if one can be deformed into the other without ripping / cutting the surface.
Yes, that's the right definition.

Now take a donut ring of dough, put a thin rolling pin through the middle, and roll the donut into a tube. Elongate the tube and you have a straw!

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 2:16 pm
by frolloos
A straw is topologically equivalent to a donut.  A donut has one hole. Therefore the straw has one hole.
Is it? I thought two spaces are topologically equivalent if one can be deformed into the other without ripping / cutting the surface.
I thought Topology was something that only existed in topologists' minds. What a pleasant, if not somewhat worrying surprise.
I only have homeomorphic dreams.

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 2:37 pm
by Traden4Alpha

Is it? I thought two spaces are topologically equivalent if one can be deformed into the other without ripping / cutting the surface.
I thought Topology was something that only existed in topologists' minds. What a pleasant, if not somewhat worrying surprise.
I only have homeomorphic dreams.
So you self-identify as a topologist?

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 2:43 pm
by frolloos
That is a very category theory like question. :)

But no, not at all. It's fascinating, like so many other things in maths and physics, but I have no talent for it/them.

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 4:47 pm
by Cuchulainn
That is a very category theory like question. :)

But no, not at all. It's fascinating, like so many other things in maths and physics, but I have no talent for it/them.
I did topology at undergrad level from Cambridge PhD student of W. V. D. Hodge. But not my forte.
You're in the realm of Riemann and Poincare who eat straws for breakfast.
Unfortunately, constructing Cauchy sequences on a torus is very difficult. 

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 4:55 pm
by Cuchulainn

Is it? I thought two spaces are topologically equivalent if one can be deformed into the other without ripping / cutting the surface.
I thought Topology was something that only existed in topologists' minds. What a pleasant, if not somewhat worrying surprise.
I only have homeomorphic dreams.
What about automorphism, homomophism and diffeomorphisms?
Some of you? catamorphism?

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 5:00 pm
by Cuchulainn
That is a very category theory like question. :)

But no, not at all. It's fascinating, like so many other things in maths and physics, but I have no talent for it/them.
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Re: How many holes does a straw have?

Posted: June 3rd, 2018, 7:02 pm
by Cuchulainn

Re: How many holes does a straw have?

Posted: June 3rd, 2018, 11:27 pm
by katastrofa
That is a very category theory like question. :)

But no, not at all. It's fascinating, like so many other things in maths and physics, but I have no talent for it/them.
Have you heard about the 10,000 hours theory?

(Why is an ellipsis popping up at the end of my posts? Some forum bug?)

...

Re: How many holes does a straw have?

Posted: June 4th, 2018, 4:17 am
by frolloos
That is a very category theory like question. :)

But no, not at all. It's fascinating, like so many other things in maths and physics, but I have no talent for it/them.
Have you heard about the 10,000 hours theory?

(Why is an ellipsis popping up at the end of my posts? Some forum bug?)

...
Haven't heard about it so looked it up. I think it works for certain "mechanical" activities only. I don't even have the 10,000 hours (yet): my manager expects me to be at work every day, and after work:

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Re: How many holes does a straw have?

Posted: June 4th, 2018, 9:08 am
by Cuchulainn
That 10K idea is based on Western ideology.

Learn from the mistakes of others, you may not live long enough to make them all yourself.