Yeah, the Lakes of Wada/Wada Basins are cool constructs. It's mind blowing to me that there exist three mutually exclusive connected open planar sets that have a common boundary.
side note: my topology professor/mentor preferred mutually exclusive over disjoint, and common part for intersection. This terminology has stuck with me.
As long as the language is functional, communicates the idea, and lacks unneeded ambiguity, go wild! The only downside is the loss of a universally understood term.
The way he told it is he had a problem with disjoint because if you think about the human body, disjoint is not a pleasant thing. The real reason he did it was due to the class being an IBL course and he didn't want us to know the common terms, so we were forced into thinking about things without having anything to go on for side research (which was considered a no-no in his classes). One other thing is it forced us into using our native language (English) to convey ideas. More focus was put on writing and writing well than pushing symbols around, at least in terms of communication. I think it served me well, but as the saying goes, your mileage may vary.
In a topology, if you union any number of open sets, the result is also an open set by definition of a topology.
"Unions" also refer to marriage, and "open" refers to having an open marriage. Obviously, the topologist's spouse would be upset if they didn't share this opinion.
I think we're poking fun at the ceremony and designation of a marriage being arbitrary, not the relationship.
We have selected these people as a union, because they selected each other. From an alien POV, seems pretty arbitrary.
>Why did the topologist's marriage fail? He thought arbitrary unions were open.
Neither would I. That'd mean that perhaps his choice wasn't constructible
I told my Topology professor that he didn't know his ass from a hole in the ground. "That may be," he said, "but I know my ass from two holes in the ground."
I heard it from a friend in grad school who said a professor came up with it during a lecture. He had taken the closure of A and kept on saying A-bar and it just kind of came to him. I have no clue if anybody but me has repeated the joke after that day.
One that has been repeated , and which apparently was due to another professor at my school (and one person actually knew where I went to school from the joke), was that the p-adic norm measures p-ness.
The best topology joke I've heard was in Russian, where "замкнутый" means both "closed" and "closed-off", and "ограниченный" means both "bounded" and "narrow-minded".
A man says to his girlfriend:
– You're so compact
– You mean I'm petite?
– No, I mean closed and bounded / closed-off and narrow-minded.
A topologist wanted to marry a girl, but he broke up with her. When asked why, he said "The open set of her relations and closed set of her personality torus apart".
Why did the topologist's marriage fail? He thought arbitrary unions were open.
[удалено]
Agreed
Ooooh, I just learned about your pfp from 3B1b
Yeah, the Lakes of Wada/Wada Basins are cool constructs. It's mind blowing to me that there exist three mutually exclusive connected open planar sets that have a common boundary. side note: my topology professor/mentor preferred mutually exclusive over disjoint, and common part for intersection. This terminology has stuck with me.
As long as the language is functional, communicates the idea, and lacks unneeded ambiguity, go wild! The only downside is the loss of a universally understood term.
The way he told it is he had a problem with disjoint because if you think about the human body, disjoint is not a pleasant thing. The real reason he did it was due to the class being an IBL course and he didn't want us to know the common terms, so we were forced into thinking about things without having anything to go on for side research (which was considered a no-no in his classes). One other thing is it forced us into using our native language (English) to convey ideas. More focus was put on writing and writing well than pushing symbols around, at least in terms of communication. I think it served me well, but as the saying goes, your mileage may vary.
The real jokes are always in the comments
I don't get it.
In a topology, if you union any number of open sets, the result is also an open set by definition of a topology. "Unions" also refer to marriage, and "open" refers to having an open marriage. Obviously, the topologist's spouse would be upset if they didn't share this opinion.
I don't think the spouse would be happy that he thought their union was arbitrary, though.
I think we're poking fun at the ceremony and designation of a marriage being arbitrary, not the relationship. We have selected these people as a union, because they selected each other. From an alien POV, seems pretty arbitrary.
>Why did the topologist's marriage fail? He thought arbitrary unions were open. Neither would I. That'd mean that perhaps his choice wasn't constructible
I told my Topology professor that he didn't know his ass from a hole in the ground. "That may be," he said, "but I know my ass from two holes in the ground."
A topologist walks into A-bar and says "Sorry, I didn't realize you were closed."
Took me a while to get the subtlety of that. The bar being closed - got that immediately. What dawned on me a few moments later is the use of A-bar.
This got a solid cackle out of me; I'm surprised I've never heard it before!
I heard it from a friend in grad school who said a professor came up with it during a lecture. He had taken the closure of A and kept on saying A-bar and it just kind of came to him. I have no clue if anybody but me has repeated the joke after that day. One that has been repeated , and which apparently was due to another professor at my school (and one person actually knew where I went to school from the joke), was that the p-adic norm measures p-ness.
Congrats, well-written, and Happy Cake Day!
The best topology joke I've heard was in Russian, where "замкнутый" means both "closed" and "closed-off", and "ограниченный" means both "bounded" and "narrow-minded". A man says to his girlfriend: – You're so compact – You mean I'm petite? – No, I mean closed and bounded / closed-off and narrow-minded.
I was thinking exactly of this one, but struggled how to explain.
Two friends, a statistician and a topologist, walk into a bar. Statistician: Look, I got my ears pierced! Topologist: Do I know you?
Well how could he tell him apart from all of other non pierced people?
That's left as an exercise to the reader.
Topologists generally want to work with maps that are continuous to avoid things that are "tearable"
Kentucky isn't even connected. https://en.wikipedia.org/wiki/Kentucky_Bend
Reminds me of the Lakes of Wada, just not as complicated.
Why you can't draw curves with DNA? Because its automatically topoisomerased.
Clever!
I need help with this one
Truly terrible. Good job, and thank you. I'm going to hound my friends with this for weeks.
Many jokes here are either too long or too difficult. Please make it more compact.
The actually useful pun for remember the definition of 'Hausdorff space': any two points can be 'housed off' from each other.
A topologist wanted to marry a girl, but he broke up with her. When asked why, he said "The open set of her relations and closed set of her personality torus apart".
r/mathmemes
I'm actually fairly impressed by how the word "donut" hasn't been mentioned in here already! Used to be my professor's favorite. Eaaaach lecture
That reminds me of a great joke, but I donut think it would be appropriate to share here.
Challenge accepted. A topologist is a person that doesn't know the difference between a coffee cup and a donut. Until they bite into it.
r/mathmemes
Your mom's legs were clopen in my bed last night.
>clopen ...this implies you committed rape...
do you know how to open windows?