  We show numerically that critical exponents for two-point interchain
correlation of an infinite chain characterize those of finite chains in
Self-Avoiding Walk (SAW) and Self-Avoiding Polygon (SAP) under a topological
constraint. We evaluate short-distance exponents $\theta(i,j)$ through the
probability distribution functions of the distance between the $i$th and $j$th
vertices of $N$-step SAW (or SAP with a knot) for all pairs ($1 \le i, j \le
N$). We construct the contour plot of $\theta(i,j)$, and express it as a
function of $i$ and $j$. We suggest that it has quite a simple structure. Here
exponents $\theta(i,j)$ generalize des Cloizeaux's three critical exponents for
short-distance interchain correlation of SAW, and we show the crossover among
them. We also evaluate the diffusion coefficient of knotted SAP for a few knot
types, which can be calculated with the probability distribution functions of
the distance between two nodes.
