Presentations (Ex)
From Manifold Atlas
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CarmenRovi (Talk | contribs) (Created page with "<wikitex>; '''Exercise 1:''' Let $(f, b): M^{2n+1} \longrightarrow X$ be an $n$-connected $(2n+1)$-dimensional normal map, and let $\left((e, a); (f, b), (f', b')\right): (W^{...") |
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| − | '''Exercise 1:''' Let $(f, b): M^{2n+1} \longrightarrow X$ be an $n$-connected $(2n+1)$-dimensional normal map, and let $\left((e, a); (f, b), (f', b')\right): (W^{2n+2}; M^{2n+1}, M'^{2n+1}) \longrightarrow X \times (I; \{0\}, \{1\})$ be a presentation. Such a presentation determines a $(-1)^n$-quadratic formation for $(f, b)$ which is given by $(H_{(-1)^n}(F); F, G)$. What is the kernel formation for $(f', b')$? | + | '''Exercise 1:''' Let $(f, b): M^{2n+1} \longrightarrow X$ be an $n$-connected $(2n+1)$-dimensional normal map, and let $\left((e, a); (f, b), (f', b')\right): (W^{2n+2}; M^{2n+1}, M'^{2n+1}) \longrightarrow X \times (I; \{0\}, \{1\})$ be a presentation. Such a presentation determines a $(-1)^n$-quadratic formation for $(f, b)$ which is given by $(H_{(-1)^n}(F); F, G)$. |
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| + | What is the kernel formation for $(f', b')$? | ||
</wikitex> | </wikitex> | ||
| − | == References == | + | <!-- == References == |
| − | {{#RefList:}} | + | {{#RefList:}} --> |
[[Category:Exercises]] | [[Category:Exercises]] | ||
| + | [[Category:Exercises without solution]] | ||
Latest revision as of 14:57, 1 April 2012
Exercise 1: Let 
be an 
-connected 
-dimensional normal map, and let 
be a presentation. Such a presentation determines a 
-quadratic formation for 
which is given by 
.
What is the kernel formation for 
?
