hi, is it possible to ask you a question in this chat?

You can try, but I'm not sure if I'll have the time to think about it if I don't know the answer off the top of my head

fine, thanks . i just started learning about homotopies so i think it is quite a simple question. if i know that a space $X$ is contractible - that is $id_X$ is homotopic to a point, then is it true that each continuous map $f: I \to X$ is homotopic to the identity map?

i thought defining the homotopy like this $H(x,t) = (1-t)f(x) +tx$. but, im not sure that this is true.

because we need to have $Im(H) \subset X$ , and i have there $(1-t)f(x) $ so it might "get out of X" , am i right?

What does it mean for $f \colon I \rightarrow X$ to be homotopic to the identity map if the domain and codomain are different?

Huh.

you got a point :P .

did you learn math. in university?

yeah

Maybe you wanted to say that any two maps $f,g \colon I \to X$ are homotopic?

i want to show that $X$ is path connected

i solved it in another way, i just had a bad feeling about the previous way so i thought i should ask someone

Sure, no problem. You study in Israel?

Yes, my name or my bad English gave me away ?

you can answer both :P

Your name, your english is fine. I actually study at the Hebrew University myself :)

Nice. study as currently studying?

Yep

im studying at HUJI too :P

you are third year?

Doing a doctorate in differential geometry. I'm actually not in Israel this year (visiting with my advisor in Princeton) but I'll be there next year.

Yea i knew it is not possible that you are still learning.

i mean undergrad.

Are you a TA here?

I'm not an undergrad but I'm definitely still learning :) Yeah, I taught linear algebra two years ago so if you're third year you might know me

im second year

did you do your M.sc and M.A here at huji?

Yeah, and my undergrad. Who is teaching topology this year?

Zlil Sela

Hardcore

:P

And who is TAing?

Gal Shahaf, you know him?

Yeah, a good guy

Last year there was another TA someone named Salomon or something like that - i heard it was a really bad, unsolvable exercises, Zlil decided to not take the exercises into account in the final grade at the end

So right now you are at Princeton ?

Yeah, I heard. I bet it's much more relaxed this year.

Yep, I'm in Princeton. I'm actually leaving in a couple of days for a road trip and then I'm flying back to Israel.

I'm wasting time here on stackexchange instead of packing and doing other boring logistics.

Hehe :P i hate this logistics that you have to do when you travel.

Do you get a student's visa or you just had one before the spending this year there?

I got one from the institute I'm visiting.

Anyway, I have to get going. Good luck with topology and maybe I'll see you at HUJI next year :)

Thanks. Good luck to you too :)