On linear topological and topological classification of spaces $C_p(X)$

A. V. Arhangel'skii

Let $C_p(X)$ denote the space of all real-valued continuous functions on a space $X$ in the topology of pointwise convergence (see [3],[4]).
We investigate when $C_p(X)$ and $C_p(Y)$ are linearly homeomorphic or just homeomorphic.