From b2531d3f2bc2376d8719b90fd4245a136c3260cb Mon Sep 17 00:00:00 2001 From: Joshua Moerman Date: Mon, 27 Oct 2014 17:38:23 +0100 Subject: [PATCH] Converts more images to diagrams --- thesis/diagrams/Apl_C_Quasi_Iso_Cube.tex | 6 ++++++ thesis/diagrams/Apl_C_Quasi_Iso_Pushout.tex | 4 ++++ thesis/diagrams/Apl_Extension.tex | 4 ++++ thesis/diagrams/C_Extension.tex | 4 ++++ thesis/diagrams/Kan_Extension.tex | 4 ++++ thesis/diagrams/Kreck_Exact_Sequence.tex | 4 ++++ thesis/diagrams/Serre_Hurewicz_Square.tex | 4 ++++ thesis/diagrams/Serre_Whitehead_LES.tex | 4 ++++ thesis/images/Apl_C_Quasi_Iso_Cube.png | Bin 67581 -> 0 bytes thesis/images/Apl_C_Quasi_Iso_Pushout.png | Bin 17436 -> 0 bytes thesis/images/Apl_Extension.png | Bin 90181 -> 0 bytes thesis/images/C_Extension.png | Bin 85402 -> 0 bytes thesis/images/Kan_Extension.png | Bin 46484 -> 0 bytes thesis/images/Kreck_Exact_Sequence.png | Bin 65143 -> 0 bytes thesis/images/Serre_Hurewicz_Square.png | Bin 42002 -> 0 bytes thesis/images/Serre_Whitehead_LES.png | Bin 71928 -> 0 bytes thesis/notes/A_K_Quillen_Pair.tex | 2 +- thesis/notes/CDGA_Of_Polynomials.tex | 2 -- thesis/notes/Polynomial_Forms.tex | 10 +++++----- thesis/notes/Serre.tex | 7 +++---- thesis/preamble.tex | 10 ++++++++++ thesis/test_diagram.sh | 2 +- 22 files changed, 54 insertions(+), 13 deletions(-) create mode 100644 thesis/diagrams/Apl_C_Quasi_Iso_Cube.tex create mode 100644 thesis/diagrams/Apl_C_Quasi_Iso_Pushout.tex create mode 100644 thesis/diagrams/Apl_Extension.tex create mode 100644 thesis/diagrams/C_Extension.tex create mode 100644 thesis/diagrams/Kan_Extension.tex create mode 100644 thesis/diagrams/Kreck_Exact_Sequence.tex create mode 100644 thesis/diagrams/Serre_Hurewicz_Square.tex create mode 100644 thesis/diagrams/Serre_Whitehead_LES.tex delete mode 100644 thesis/images/Apl_C_Quasi_Iso_Cube.png delete mode 100644 thesis/images/Apl_C_Quasi_Iso_Pushout.png delete mode 100644 thesis/images/Apl_Extension.png delete mode 100644 thesis/images/C_Extension.png delete mode 100644 thesis/images/Kan_Extension.png delete mode 100644 thesis/images/Kreck_Exact_Sequence.png delete mode 100644 thesis/images/Serre_Hurewicz_Square.png delete mode 100644 thesis/images/Serre_Whitehead_LES.png diff --git a/thesis/diagrams/Apl_C_Quasi_Iso_Cube.tex b/thesis/diagrams/Apl_C_Quasi_Iso_Cube.tex new file mode 100644 index 0000000..7c00f71 --- /dev/null +++ b/thesis/diagrams/Apl_C_Quasi_Iso_Cube.tex @@ -0,0 +1,6 @@ +\xymatrix @=9pt { + A(X') \ar[rr] \ar[dd] \ar[dr] && A(\Delta[n]) \arfib'[d][dd] \arwe[dr] & \\ + & C^\ast(X') \ar[rr] \ar[dd] && C^\ast(\Delta[n]) \arfib[dd] \\ + A(X) \ar'[r][rr] \arwe[dr] && A(\del\Delta[n]) \arwe[dr] & \\ + & C^\ast(X) \ar[rr] && C^\ast(\del\Delta[n]) +} \ No newline at end of file diff --git a/thesis/diagrams/Apl_C_Quasi_Iso_Pushout.tex b/thesis/diagrams/Apl_C_Quasi_Iso_Pushout.tex new file mode 100644 index 0000000..ba521b6 --- /dev/null +++ b/thesis/diagrams/Apl_C_Quasi_Iso_Pushout.tex @@ -0,0 +1,4 @@ +\xymatrix{ + \del\Delta[n] \ar[r] \ar[d] \xypo & X \ar[d] \\ + \Delta[n] \ar[r] & X' +} diff --git a/thesis/diagrams/Apl_Extension.tex b/thesis/diagrams/Apl_Extension.tex new file mode 100644 index 0000000..92ede61 --- /dev/null +++ b/thesis/diagrams/Apl_Extension.tex @@ -0,0 +1,4 @@ +\xymatrix{ + \DELTA \ar[d]^{\Delta[-]} \ar@<+.6ex>[drr]^-\Apl && \\ + \sSet \ar@{-->}@<+.6ex>[rr]^-A & \xyadj & \CDGA_\k^{op} \ar@{-->}@<+.6ex>[ll]^-K +} diff --git a/thesis/diagrams/C_Extension.tex b/thesis/diagrams/C_Extension.tex new file mode 100644 index 0000000..5f3a4eb --- /dev/null +++ b/thesis/diagrams/C_Extension.tex @@ -0,0 +1,4 @@ +\xymatrix{ + \DELTA \ar[d]^{\Delta[-]} \ar@<+.6ex>[drr]^-C && \\ + \sSet \ar@{-->}@<+.6ex>[rr]^-{C^\ast} & \xyadj & \DGA_\k^{op} \ar@{-->}@<+.6ex>[ll] +} diff --git a/thesis/diagrams/Kan_Extension.tex b/thesis/diagrams/Kan_Extension.tex new file mode 100644 index 0000000..f5c9ee8 --- /dev/null +++ b/thesis/diagrams/Kan_Extension.tex @@ -0,0 +1,4 @@ +\xymatrix{ + \DELTA \ar[d]^{\Delta[-]} \ar@<+.6ex>[drr]^-F && \\ + \sSet \ar@{-->}@<+.6ex>[rr]^-{F_!} & \xyadj & \cat{C} \ar@{-->}@<+.6ex>[ll]^-{F^\ast} +} diff --git a/thesis/diagrams/Kreck_Exact_Sequence.tex b/thesis/diagrams/Kreck_Exact_Sequence.tex new file mode 100644 index 0000000..38d005b --- /dev/null +++ b/thesis/diagrams/Kreck_Exact_Sequence.tex @@ -0,0 +1,4 @@ +\xymatrix{ + \cdots \ar[r] & H_{i+1}(E^{k+1}, E^k) \ar[r] \ar[d] & H_i(E^k, F) \ar[r] \ar[d] & H_i(E^{k+1}, F) \ar[r] \ar[d] & \cdots \\ + \cdots \ar[r] & H_{i+1}(B^{k+1}, B^k) \ar[r] & H_i(B^k, b_0) \ar[r] & H_i(B^{k+1}, b_0) \ar[r] & \cdots +} diff --git a/thesis/diagrams/Serre_Hurewicz_Square.tex b/thesis/diagrams/Serre_Hurewicz_Square.tex new file mode 100644 index 0000000..55b27cb --- /dev/null +++ b/thesis/diagrams/Serre_Hurewicz_Square.tex @@ -0,0 +1,4 @@ +\xymatrix{ + \pi_n(X(n)) \ar[r]^\iso \ar[d]^\iso & H_n(X(n)) \ar[d]^{\C-iso} \\ + \pi_n(X) \ar[r] & H_n(X) +} diff --git a/thesis/diagrams/Serre_Whitehead_LES.tex b/thesis/diagrams/Serre_Whitehead_LES.tex new file mode 100644 index 0000000..53d54bb --- /dev/null +++ b/thesis/diagrams/Serre_Whitehead_LES.tex @@ -0,0 +1,4 @@ +\xymatrix{ + \cdots \ar[r] & \pi_{i+1}(B_f, A) \ar[r] \ar[d] & \pi_i(A) \ar[r]^{f_\ast} \ar[d] & \pi_i(B) \ar[r] \ar[d] & \pi_i(B_f, A) \ar[r] \ar[d] & \cdots \\ + \cdots \ar[r] & H_{i+1}(B_f, A) \ar[r] & H_i(A) \ar[r]^{f_\ast} & H_i(B) \ar[r] & H_i(B_f, A) \ar[r] & \cdots \\ +} diff --git a/thesis/images/Apl_C_Quasi_Iso_Cube.png b/thesis/images/Apl_C_Quasi_Iso_Cube.png deleted file mode 100644 index 6ab99c323f8e4174c06b37e279483cd69691a179..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 67581 zcmagGbx<5#&^L-_kpy>lUEDP+?(Pf03GS|0T!Om>hv2qAaCdiihXfB6_;}v$zIFe) zb*pA-YI;sjpXqa^r{#AhQdL>zBMK1;3=GUiIax_{7#M^W7#O%J0Kz*Z){1=U{QzgG zAR`HL4$tx3+U+ZajGU4xg`)$735Al0S<3zw0~iuy5g5%&eK5yX$33C0^!WiS$n 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