mcastillo356's latest activity
-
mcastillo356 reacted to Gavran's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with
Informative.
The first statement of the theorem was published in 1887 by Georg Cantor. If M and N are two such sets that components M' and N' can be... -
mcastillo356 reacted to fresh_42's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with Informative.
Here is another source, in case this is easier. https://web.williams.edu/Mathematics/lg5/CanBer.pdf
-
mcastillo356 reacted to fresh_42's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with
Like.
If we have an injective map ##f\, : \,A\rightarrow B## then its restriction on the image ##f'\, : \,A \rightarrow f(A)## is bijective. -
mcastillo356 replied to the thread B Onto set mapping is the surjective set mapping, and into injective?.Lemma 2 is difficult to me Why ##A=A_{0}\sim{B_{1}}\sim{A_{2}}\sim{B_{3}}\sim{A_{4}}\sim{\cdots}##? Attempt ##A=A_{0}##...
-
mcastillo356 replied to the thread B Onto set mapping is the surjective set mapping, and into injective?.Working hard on it.
-
mcastillo356 replied to the thread RIP Robert Redford (89)."The sting", that's my favorite movie. The soundtrack is amazing.
-
That was one of the great Oscar travesties. Ordinary People over The Elephant Man and Raging Bull?! Best director and best picture?!
-
mcastillo356 reacted to fresh_42's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with Like.
No. We have ##f\, : \,X\longrightarrow Y## and ##g\, : \,Y\longrightarrow X.## No real numbers anywhere. I had ##F=f\circ g\circ f##...
-
mcastillo356 replied to the thread B Onto set mapping is the surjective set mapping, and into injective?.##\mathbb{R}^+##?
-
-
mcastillo356 replied to the thread B Onto set mapping is the surjective set mapping, and into injective?.No idea. I can only attempt at it: ##F## could be the identity function? @martinbn says so. Another doubt: The Axiom of Choice is needed?
-
mcastillo356 reacted to fresh_42's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with Like.
You need to understand the words. As I see it, Simmons uses the following terms: ##f\, : \,X\longrightarrow Y## mapping ##X## is the...
-
mcastillo356 replied to the thread B Onto set mapping is the surjective set mapping, and into injective?.I'm working on the Schroether-Bernstein theorem, this is, the next step in the textbook "Introduction to topology and modern analysis"...
-
mcastillo356 reacted to PeroK's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with
Haha.
Whether you use into and/or onto is upto you! -
mcastillo356 reacted to Gavran's post in the thread B Onto set mapping is the surjective set mapping, and into injective? with Informative.
To be on the set means occupying the whole set in a particular way and the word “onto” follows the definition of a surjective function...
-
Kind of like the Seal Team 6 rehearsals for the Osama Bin Laden raid... :wink:
