Ninety years ago, in 1922, Alexander Friedman (1888-1925) demonstrated for the first time that the General Relativity theory admits non-static solutions and thus the Universe may expand, contract, collapse, and even be born. His fundamental equations describing possible scenarios for the evolution of the world provide the basis for the current cosmological theories of the Big Bang and the Accelerating Universe. Friedman's unexpected achievement initially met with strong resistance and since then has been often misrepresented in the literature. This paper clarifies some persistent confusion regarding Friedman's cosmological theory in comparison with corresponding theories by Albert Einstein, Willem de Sitter, Arthur Eddington, and Georges Lemaitre. Friedman's little known topological and astronomical ideas of how to check the General Relativity in practice are also described.