/sci/ - Science & Math

Y'all niggers are gonna be awfully surprised when media finally start reporting on studies that involve particle forcing.

>what are you researching?
I've been developing a method to shrink categories. It allows one to use the properties of small categories "locally" in categories that need not be smal themselves, such as the Mitchell embedding theorem. No idea if this has already been done by someone, but I'm going to see a lecturer of mine next tuesday and see what she has to say about this.

>what are you studying?
Some algebraic topology and a bit of differential equations, and pointless topology on my own.

>any good problems?
Using the category of Hausdorff spaces and comtinuous maps, show that an arrow can be both an epimorphism and a monomorphism without being an isomorphism. (Hint: the inclusion [math]\mathbb{Q} \to \mathbb{R}[/math].

>what are you researching?
I've been developing a method to shrink categories. It allows one to use the properties of small categories "locally" in categories that need not be smal themselves, such as the Mitchell embedding theorem. No idea if this has already been done by someone, but I'm going to see a lecturer of mine next tuesday and see what she has to say about this.

>what are you studying?
Some algebraic topology and a bit of differential equations, and pointless topology on my own.

>any good problems?
Using the category of Hausdorff spaces and comtinuous maps, show that an arrow can be both an epimorphism and a monomorphism without being an isomorphism. (Hint: the inclusion [math]\mathbb{Q}\to\mathbb{R}[/math].