Talk:Kervaire-Milnor Braid (Ex)

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(Created page with "<wikitex>; $$ \def\curv{1.5pc} \xymatrix{ \pi_8(O) \ar[dr] \ar@/u\curv/[rr] && \Omega_8^{fr} \ar[dr] \ar@/u\curv/[rr] && L_8(\Z) \ar[dr]\ar@/u\curv/[rr] &&\Theta_7 \ar[dr]\a...")
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%$$
% \def\curv{1.5pc}
% \xymatrix@!R@!C@!0@R=2.5pc@C=4pc{
% \pi_n(TOP/O) \ar[dr] \ar@/u\curv/[rr] && \pi_{n-1}(O) \ar[dr] \ar@/u\curv/[rr] && \pi_{n-1}(G) \\
% & \pi_n(G/O) \ar[dr] \ar[ur] && \pi_{n-1}(TOP) \ar[dr] \ar[ur] \\
% \pi_n(G) \ar[ur] \ar@/d\curv/[rr] && \pi_n(G/TOP) \ar[ur] \ar@/d\curv/[rr] && \pi_{n-1}(TOP/O)
% }
%$$
</wikitex>
</wikitex>

Revision as of 15:07, 30 August 2013

\displaystyle   \def\curv{1.5pc}  \xymatrix{ \pi_8(O) \ar[dr] \ar@/u\curv/[rr] && \Omega_8^{fr} \ar[dr] \ar@/u\curv/[rr] && L_8(\Z) \ar[dr]\ar@/u\curv/[rr] &&\Theta_7 \ar[dr]\ar@/u\curv/[rr]&& \pi_6(O) \ar[dr] \ar@/u\curv/[rr] && \Omega_6^{fr} \ar[dr] \ar@/u\curv/[rr] && L_6(\Z) \ar[dr]\ar@/u\curv/[rr] &&\Theta_5 \ar[dr]\ar@/u\curv/[rr]&& \pi_{4}(O) \ar[dr] \ar@/u\curv/[rr] && \pi_{4}^S \\                                                &          \Theta_{8}^{fr} \ar[dr] \ar[ur]        && \Omega^{alm}_8 \ar[dr] \ar[ur]       &&          \Theta_{7}^{fr} \ar[dr] \ar[ur]                    && \Omega^{alm}_7 \ar[dr] \ar[ur]       &&          \Theta_{6}^{fr} \ar[dr] \ar[ur]        && \Omega^{alm}_6 \ar[dr] \ar[ur]       &&          \Theta_{5}^{fr} \ar[dr] \ar[ur]                    && \Omega^{alm}_5 \ar[dr] \ar[ur]       &&          \Theta_{4}^{fr} \ar[dr] \ar[ur] & \\  L_9(\Z) \ar[ur] \ar@/d\curv/[rr] && \Theta_8 \ar[ur] \ar@/d\curv/[rr]      && \pi_7(O) \ar[ur] \ar@/d\curv/[rr] &&\Omega_7^{fr} \ar[ur]\ar@/d\curv/[rr] && L_7(\Z) \ar[ur] \ar@/d\curv/[rr] && \Theta_6 \ar[ur] \ar@/d\curv/[rr]      && \pi_5(O) \ar[ur] \ar@/d\curv/[rr] &&\Omega_5^{fr} \ar[ur]\ar@/d\curv/[rr] && L_5(\Z) \ar[ur] \ar@/d\curv/[rr]      && \Theta_{4}  }


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