Formations and chain complexes II (Ex)

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{{beginthm|Definition|{{cite|Ranicki1980|Proposition 4.6}} }}
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An n-dimensional $\epsilon$-symmetric/$\epsilon$-quadratic complex $(C, \phi)$/$(C, \psi)$ is called ''well-connected'' if $H_0(C)= 0$.
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{{endthm}}
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{{beginthm|Exercise}}
Show that a boundary of a well-connected $2$-dimensional symmetric/quadratic complex gives a boundary formation.
Show that a boundary of a well-connected $2$-dimensional symmetric/quadratic complex gives a boundary formation.
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{{endthm}}
See section 2 of {{cite|Ranicki1980}}
See section 2 of {{cite|Ranicki1980}}

Latest revision as of 16:20, 31 May 2012

Definition 0.1 [Ranicki1980, Proposition 4.6] . An n-dimensional \epsilon-symmetric/\epsilon-quadratic complex (C, \phi)/(C, \psi) is called well-connected if H_0(C)= 0.

Exercise 0.2. Show that a boundary of a well-connected 2-dimensional symmetric/quadratic complex gives a boundary formation.

See section 2 of [Ranicki1980]

[edit] References

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