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An amateur general topology researcher.


Oct
18
comment Functor whose values on morphisms are monomorphisms
@MartinBrandenburg: I've looked into Wikipedia. Filtration is something about totally ordered sets and thus is unrelated with my notion. Why on the Earth have you decided it is related with filtration?
Oct
18
asked Functor whose values on morphisms are monomorphisms
Oct
18
comment A notation for a morphism in a thin category
It isn't $A\leq B$ is a logical formula and can take only two values: false or true. The set of all morphisms may have more than 2 members what makes this notation contradictory
Oct
18
comment A notation for a morphism in a thin category
Maybe $(A,B)$ would be a suitable notation?
Oct
18
asked A notation for a morphism in a thin category
Oct
15
suggested suggested edit on Steve Awodey “Category Theory” - possible error
Oct
15
awarded  Quorum
Oct
15
comment Steve Awodey “Category Theory” - possible error
I'm not quite sure that I understand why $\bar f^{-1}(U) = f^{-1}(U')$
Oct
15
accepted Steve Awodey “Category Theory” - possible error
Oct
15
comment Steve Awodey “Category Theory” - possible error
"follows that the for every open set" - the word "the" is superfluous
Oct
14
comment Steve Awodey “Category Theory” - possible error
Please be clear: your second blockquote, is it from Awodey or is it your own passage?
Oct
14
asked Steve Awodey “Category Theory” - possible error
Oct
14
asked Proving that it is an equalizer
Oct
14
comment On equalizers in Top
Sorry for a stupid question: why is it representable and equal to hom(1,−)?
Oct
14
accepted On equalizers in Top
Oct
14
comment On equalizers in Top
How to prove (desirably for many concrete categories not only $\mathbf{Top}$) that it has adjoints?
Oct
14
comment On equalizers in Top
@JoeJohnson126: But we have topospaces as objects, not sets. How can your comment help in this case? Maybe there is some "embedding"?
Oct
14
asked On equalizers in Top
Oct
7
comment Which books to study category theory?
@MarianoSuárez-Alvarez: "Enough" for applications of CT in general topology (not algebraic topology)
Oct
6
accepted Which books to study category theory?