Could you help me with some topics?
1. How many continuus functions [0, 1] to R exists? (some people says that it is continuum! I can accept this!). Justify.
2. How many continuus functions R to R exists (some people says that it is also continuum. That i cannot accept! I bet that it is more than continuum.). Justify.
I belive that this tasks will be no problem for all you mathematics genius.
Thank you for any help.