How can I put the arrow with the 0 in this diagram?

Here is the diagram I want to draw:

I got a help on drawing the following from here :

\documentclass{article}

\usepackage{tikz}
\usetikzlibrary{cd}

\begin{document}
$$\begin{tikzcd} & P \ar[dl, dashed, "\tilde{f}" '] \ar[d, "f"] \\ A \ar[r,twoheadrightarrow,"g" '] & B \end{tikzcd}$$
\end{document}


But how can I put the arrow with the 0 in this diagram? could someone show me this please?

\documentclass{article}

\usepackage{tikz}
\usetikzlibrary{cd}

\begin{document}
$\begin{tikzcd} & P \ar[dl, dashed, "\tilde{f}" '] \ar[d, "f"] \\ A \ar[r,twoheadrightarrow,"g" '] & B \arrow[r, twoheadrightarrow] & 0 \end{tikzcd}$
\end{document}


• Don't use  in LaTeX! Instead them use $ and $ respectively. Feb 15 at 6:19

The original figure, I think, it is done with package. In fact the classic tips are the same. The font used it is (mtpro2) where in this link you can find the version lite.

I have changed the font with newtxtext (clone of Times New Roman) and newtxmath. I think that it is very close with your image.

\documentclass[a4paper,12pt]{article}
\usepackage[all]{xy}
\usepackage{newtxtext,newtxmath}
\begin{document}
\xymatrix@R=2pc@C=3pc{
& P \ar[d]^{id} \ar@{-->}[dl]_{\mu} &\\
M \ar[r]^{\varphi} & P\ar[r] & 0
}

\end{document}


Addendum 1: ## To have the twoheadrightarrow you can use the code \ar@{>>} (see the MWE):

\documentclass[a4paper,12pt]{article}
\usepackage[all]{xy}
\usepackage{newtxtext,newtxmath}
\begin{document}
\xymatrix@R=2pc@C=3pc{
& P \ar[d]^{id} \ar@{-->}[dl]_{\mu} &\\
M \ar@{>>}[r]^{\varphi} & P\ar@{>>}[r] & 0
}
\end{document}


If you want the tips of you can use the options [all, cmtip]:

\documentclass[a4paper,12pt]{article}
\usepackage[all,cmtip]{xy}
\usepackage{newtxtext,newtxmath}
\begin{document}
\xymatrix@R=2pc@C=3pc{
& P \ar[d]^{id} \ar@{-->}[dl]_{\mu} &\\
M \ar@{>>}[r]^{\varphi} & P\ar@{>>}[r] & 0
}
\end{document}


Another possible answer than @Roland's, would be to use \usetikzlibrary{matrix}. That would look like

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{matrix}

\begin{document}
\begin{tikzpicture}%
\matrix[matrix of math nodes,row sep=1cm, column sep=1cm]{%
&& |(P)| P \\
& |(M)| M & |(Ptwo)| P & |(zero)| 0 \\
};%
\draw[dashed,->,very thick](P)--(M) node[above,pos=0.5]{$$\mu$$};%
\draw[->>,very thick](P)--(Ptwo) node[right,pos=0.5]{id};%
\draw[->>,very thick](M)--(Ptwo) node[above,pos=0.5]{$$\varphi$$};%
\draw[->,very thick](Ptwo)--(zero);%
\end{tikzpicture}%
\end{document}


That would give the display:

Nota Bene: You can play around and change [row sep=1cm, column sep=1cm] to modify the spacing and make it as you wish.