File:Zigzag theorem 2.pdf

\documentclass{standalone}

\usepackage{tikz}

\usepackage{standalone}

\usepackage{graphicx,xcolor}% allow the usage graphics

\begin{document}

\begin{tikzpicture}

\draw (-0.5,0) to [out=175,in=-85] (-4,1.5);\draw[->] (-4,1.5) to [out=85,in=185] (-0.08,3);\draw (-4.1,1.5) node {$\scriptstyle d$};% d left side

\draw [->] (-0.07,0.03)--(-2,1);\draw (-1,0.25) node {$\scriptstyle x_1$}; % x1

\draw [->,draw=blue,dashed] (-2.05,1.05) to [out=85,in=190] (-0.12,2.95);\draw (-1.80,2.25) node {$\scriptstyle u_1$};% u1

\draw [->,draw=blue,dashed] (-2,1)--(-1,2);\draw (-1.25,1.35) node {$\scriptstyle v_1$};% v1

\draw [->] (-0.95,2.05)--(-0.08,2.9);\draw (-0.25,2.45) node {$\scriptstyle y_1$};%  y1

\draw [->] (0,0.07)--(0,1);\draw (-0.15,0.65) node {$\scriptstyle x_2$};% x2

\draw [->,draw=blue,dashed] (-0.05,1.05)--(-0.95,1.95);\draw (-0.25,1.7) node {$\scriptstyle u_2$};%  u2

\draw [->,draw=blue,dashed] (0.05,1.05)--(0.93,1.95);\draw (0.25,1.7) node {$\scriptstyle v_2$};%v2

\draw [->] (0.03,0.05)--(2,1); \draw (0.80,0.70) node {$\scriptstyle x_3$}; %x3

\draw [->,draw=blue,dashed] (2,1.05)--(1.1,1.95);\draw (1.35,1.35) node {$\scriptstyle u_3$};%u3

\draw [->] (0.07,0.03)--(3,1);\draw (2.42,0.50) node {$\scriptstyle x_{m}$};% x_m

\draw [->,draw=blue,dashed] (3.05,1.05)--(3.95,1.95);\draw (3.15,1.70) node {$\scriptstyle v_{m}$};\draw (2.65,1.85) node {$\scriptstyle \cdots$}; % v_m

\draw [->,draw=blue,dashed] (0.5,0) to [out=5,in=265] (4,1.90);\draw (3.85,0.75) node {$\scriptstyle u_{m+1}$};%  u_{m+1}

\draw [->] (1.03,2.05)--(0.08,2.95);\draw (0.25,2.45) node {$\scriptstyle y_2$};% y2

\draw [->] (4,2.05)--(0.08,3);\draw (2.5,2.65) node {$\scriptstyle y_{m}$};%  y_m

\end{tikzpicture}

\end{document}