7 \newcommand{\HC}{\operatorname{Hoch}} |
7 \newcommand{\HC}{\operatorname{Hoch}} |
8 \newcommand{\HH}{\operatorname{HH}} |
8 \newcommand{\HH}{\operatorname{HH}} |
9 |
9 |
10 \newcommand{\CM}[2]{C_*(\Maps(#1 \to #2))} |
10 \newcommand{\CM}[2]{C_*(\Maps(#1 \to #2))} |
11 \newcommand{\CD}[1]{C_*(\Diff(#1))} |
11 \newcommand{\CD}[1]{C_*(\Diff(#1))} |
12 \newcommand{\CH}[1]{C_*(\Homeo(#1))} |
12 \newcommand{\CH}[1]{CH_*(#1)} |
13 |
13 |
14 \newcommand{\cl}[1]{\underrightarrow{#1}} |
14 \newcommand{\cl}[1]{\underrightarrow{#1}} |
15 |
15 |
16 \newcommand{\Set}{\text{\textbf{Set}}} |
16 \newcommand{\Set}{\text{\textbf{Set}}} |
17 \newcommand{\Vect}{\text{\textbf{Vect}}} |
17 \newcommand{\Vect}{\text{\textbf{Vect}}} |
35 \newcommand{\directSum}{\oplus} |
35 \newcommand{\directSum}{\oplus} |
36 \newcommand{\DirectSum}{\bigoplus} |
36 \newcommand{\DirectSum}{\bigoplus} |
37 \newcommand{\tensor}{\otimes} |
37 \newcommand{\tensor}{\otimes} |
38 \newcommand{\Tensor}{\bigotimes} |
38 \newcommand{\Tensor}{\bigotimes} |
39 |
39 |
40 \newcommand{\selfarrow}{\ensuremath{\smash{\tikz[baseline]{\draw[->] (0,0.2) .. controls (0.6,0.8) and (0.6,-0.6) .. (0,0);}}}} |
40 \newcommand{\selfarrow}{\ensuremath{\smash{\tikz[baseline]{\clip (0,0.36) rectangle (0.48,-0.16); \draw[->] (0,0.2) .. controls (0.6,0.8) and (0.6,-0.6) .. (0,0);}}}} |
41 |
41 |
42 \newcommand{\bdy}{\partial} |
42 \newcommand{\bdy}{\partial} |
43 \newcommand{\compose}{\circ} |
43 \newcommand{\compose}{\circ} |
44 \newcommand{\eset}{\emptyset} |
44 \newcommand{\eset}{\emptyset} |
45 |
45 |
46 \newcommand{\id}{\boldsymbol{1}} |
46 \newcommand{\id}{\boldsymbol{1}} |
47 |
47 |
48 \newtheorem{property}{Property} |
48 \newtheorem{property}{Property} |
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49 \newtheorem{prop}{Proposition} |
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50 \newtheorem{thm}[prop]{Theorem} |
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51 |
49 \newenvironment{rem}{\noindent\textsl{Remark.}}{} |
52 \newenvironment{rem}{\noindent\textsl{Remark.}}{} |
50 |
53 |
51 % \mathrlap -- a horizontal \smash-------------------------------- |
54 % \mathrlap -- a horizontal \smash-------------------------------- |
52 % For comparison, the existing overlap macros: |
55 % For comparison, the existing overlap macros: |
53 % \def\llap#1{\hbox to 0pt{\hss#1}} |
56 % \def\llap#1{\hbox to 0pt{\hss#1}} |
61 \def\mathrlapinternal#1#2{% |
64 \def\mathrlapinternal#1#2{% |
62 \rlap{$\mathsurround=0pt#1{#2}$}} |
65 \rlap{$\mathsurround=0pt#1{#2}$}} |
63 \def\mathclapinternal#1#2{% |
66 \def\mathclapinternal#1#2{% |
64 \clap{$\mathsurround=0pt#1{#2}$}} |
67 \clap{$\mathsurround=0pt#1{#2}$}} |
65 |
68 |
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69 % references |
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70 |
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71 \newcommand{\arxiv}[1]{\href{http://arxiv.org/abs/#1}{\tt arXiv:\nolinkurl{#1}}} |
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72 \newcommand{\doi}[1]{\href{http://dx.doi.org/#1}{{\tt DOI:#1}}} |
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73 \newcommand{\euclid}[1]{\href{http://projecteuclid.org/euclid.cmp/#1}{{\tt at Project Euclid: #1}}} |
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74 \newcommand{\mathscinet}[1]{\href{http://www.ams.org/mathscinet-getitem?mr=#1}{\tt #1}} |
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75 \newcommand{\googlebooks}[1]{(preview at \href{http://books.google.com/books?id=#1}{google books})} |
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76 |
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77 |
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78 |
66 % packages |
79 % packages |
67 |
80 |
68 \usepackage{tikz} |
81 \usepackage{tikz} |
69 \usetikzlibrary{shapes} |
82 \usetikzlibrary{shapes} |
70 \usetikzlibrary{backgrounds} |
83 \usetikzlibrary{backgrounds} |
71 \usetikzlibrary{decorations,decorations.pathreplacing} |
84 \usetikzlibrary{decorations,decorations.pathreplacing} |
72 \usetikzlibrary{fit,calc,through} |
85 \usetikzlibrary{fit,calc,through} |
73 |
86 |
74 \usepackage[all,color]{xy} |
87 \usepackage[all,color]{xy} |
75 \SelectTips{cm}{} |
88 \SelectTips{cm}{} |
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89 |
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90 \usepackage[pdftex,plainpages=false,hypertexnames=false,pdfpagelabels]{hyperref} |
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91 |
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92 \usepackage{xcolor} |
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93 \definecolor{dark-red}{rgb}{0.7,0.25,0.25} |
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94 \definecolor{dark-blue}{rgb}{0.15,0.15,0.55} |
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95 \definecolor{medium-blue}{rgb}{0,0,0.65} |
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96 |
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97 \hypersetup{ |
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98 colorlinks, linkcolor={dark-red}, |
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99 citecolor={dark-blue}, urlcolor={medium-blue} |
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100 } |
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101 |