Some Historical developments of real analysis Weierstrass's nowhere 1872 differentiable function Introduction of 1881 functions by Jordan and 1883 Cantor set later connection with rectifiability 1890 Space filling curve by Peano 1898 Borel's measurable sets 1902 bebesgue's theory of Consfruction 1905 measure and integration non-measurable sefs by Vitali 2 2 Some Historical developments of real analysis Weierstrass’s nowhere differentiable function 1872 Introduction of BV functions by Jordan and later connection with rectifiability Cantor set Space filling curve by Peano Construction of non-measurable sets by Vitali Borel’s measurable sets Lebesgue’s theory of measure and integration 1881 1883 1890 1898 1902 1905