No. is equinumerous with (0,1); the bijection between these sets can be constructed using the tangent function on . Similarly, is equinumerous with . Now, there is a bijection . See section 4 in this PDF document.
No. is equinumerous with (0,1); the bijection between these sets can be constructed using the tangent function on . Similarly, is equinumerous with . Now, there is a bijection . See section 4 in this PDF document.