From 986bfdc2556886a9b32068b13cc3a050ac8730ec Mon Sep 17 00:00:00 2001 From: gheber Date: Wed, 24 Feb 2016 17:31:18 -0600 Subject: [PATCH] Minor touch up. --- examples/Chapter5.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/Chapter5.ipynb b/examples/Chapter5.ipynb index d2fd1ea..61efc1a 100644 --- a/examples/Chapter5.ipynb +++ b/examples/Chapter5.ipynb @@ -49,7 +49,7 @@ "\n", "A coalgebra is a pair $(C, \\chi)$ where\n", "1. $C$ is a chain complex.\n", - "2. $\\chi$ (the {\\em coproduct}) is a chain complex morphism $$\\chi: C \\rightarrow C \\otimes C.$$\n", + "2. $\\chi$ (the *coproduct*) is a chain complex morphism $$\\chi: C \\rightarrow C \\otimes C.$$\n", "\n", "These components must satisfy the usual structural properties of the coalgebras (**Mac Lane**, Homology, section VI-9. Springer 1970.).\n", "\n", @@ -438,7 +438,7 @@ "\n", "$$\n", "\\begin{align}\n", - "d_h( g_1 \\otimes \\cdots \\otimes g_p) & = (-1)^p \\Delta g_1 \\otimes g_2 \\otimes \\cdots \\otimes g_p \\\\\n", + "d_h( g_1 \\otimes \\cdots \\otimes g_p) = & (-1)^p \\Delta g_1 \\otimes g_2 \\otimes \\cdots \\otimes g_p \\\\\n", " & + (-1)^{p-1} g_1 \\otimes \\Delta g_2 \\otimes \\cdots \\otimes g_p \\\\\n", " & \\cdots \\\\\n", " & - g_1 \\otimes g_2 \\otimes \\cdots \\otimes g_{p-1} \\otimes \\Delta g_p,\n",