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Minor touch up.

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gheber 2016-02-24 17:31:18 -06:00
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commit 986bfdc255
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examples/Chapter5.ipynb
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@ -49,7 +49,7 @@
"\n", "\n",
"A coalgebra is a pair $(C, \\chi)$ where\n", "A coalgebra is a pair $(C, \\chi)$ where\n",
"1. $C$ is a chain complex.\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", "\n",
"These components must satisfy the usual structural properties of the coalgebras (**Mac Lane**, Homology, section VI-9. Springer 1970.).\n", "These components must satisfy the usual structural properties of the coalgebras (**Mac Lane**, Homology, section VI-9. Springer 1970.).\n",
"\n", "\n",
@ -438,7 +438,7 @@
"\n", "\n",
"$$\n", "$$\n",
"\\begin{align}\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", " & + (-1)^{p-1} g_1 \\otimes \\Delta g_2 \\otimes \\cdots \\otimes g_p \\\\\n",
" & \\cdots \\\\\n", " & \\cdots \\\\\n",
" & - g_1 \\otimes g_2 \\otimes \\cdots \\otimes g_{p-1} \\otimes \\Delta g_p,\n", " & - g_1 \\otimes g_2 \\otimes \\cdots \\otimes g_{p-1} \\otimes \\Delta g_p,\n",