Moreover, we have ({text {DSec}}((Delta I ^o,beta ^{o*}mathcal {C}^perp ) cong {text {Ho}}({text {Sec}}((Delta I ^o,beta ^{o*}mathcal {C}^perp ))) by (ii) and Proposition 7.26, so that we do not need to consider matching expansions to describe derived sections of (beta ^{o*}mathcal {C}^perp ). the projection (mathcal {C}' rightarrow I) is a Grothendieck cofibration, and.
Moreover, for any derived section s of (mathcal {C}) over I, the adjunction map (rho ^*sigma ^*s rightarrow s) is a pointwise weak equivalence, so that it lies in the image of the fully faithful functor ({text {Ho}}(rho ^*)).
For any good model prefibration (mathcal {C}) over a Reedy category I with the matching expansion (rho :M(I) rightarrow I), a derived section (sigma ) of (mathcal {C}) over I is a section (sigma in {text {Sec}}(M(I),rho ^*mathcal {C})) that is homotopy cartesian along all maps f in M(I) vertical with respect to (rho ).
Another corollary of Proposition 8.4 is extended functoriality for the categories of derived sections.
In the assumptions above, the essential image of the fully faithful functor (gamma _*:{text {DSec}}(I',gamma ^*mathcal {C}) rightarrow {text {DSec}}(I,mathcal {C})) consists of derived sections that are homotopy cartesian along (a(i):i rightarrow gamma (gamma _dagger (i))) for all (i in I).
Then we have the full embedding begin{aligned} gamma ^o_!:{text {DSec}} overline{Delta }^o,widetilde{mathcal {C}}) rightarrow {text {DSec}}((Delta P ^o,R(mathcal {C},Phi )), end{aligned}and to prove the claim, it suffices to show that its essential image consists of derived sections that are homotopy cartesian along all the maps in the class L in ((Delta P ^o).
The questionnaire was derived from sections of several social behavior and attraction questionnaires that included questions regarding physical activity (International Physical Activity Questionnaire; "IPAQ", 2002), sleep patterns (Karolinska Sleep Questionnaire) [ 17, 18], and interpersonal relations (Interpersonal Attraction Scales) [ 19, 20].
As above, we need to make the further assumption that the system is initially at steady state, that is: (14) The formulas required for the computation of p t) are derived in Section S4 of the Additional file 1.
The NLRB reasoned that the right was derived from Section 7 of the NLRA rather than Section 9.
Section Botrycephalae is a derived clade of section Phyllodineae.
