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Simon Henry
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e) If $X$ is a space (an $\infty$-groupoid), and $Sp^X$ denotes the full subcategory of compact object in the infinity category $Sh(X,Sp)$ of (locally constant) sheaves of spectrum on $X$, then:

e) If $X$ is a space, and $Sp^X$ denotes the full subcategory of compact object in the infinity category $Sh(X,Sp)$ of sheaves of spectrum on $X$, then:

e) If $X$ is a space (an $\infty$-groupoid), and $Sp^X$ denotes the full subcategory of compact object in the infinity category $Sh(X,Sp)$ of (locally constant) sheaves of spectrum on $X$, then:

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Simon Henry
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that "computes" the levellevelwise Euler Characteristiccharacteristic of $F(X)$ from the levelwise Euler characteristic of $X$, when $X$ is a finitely presentable objects in $\widehat{I}$, in the sense that:

that "computes" the level Euler Characteristic of $F(X)$ from the levelwise Euler characteristic of $X$, when $X$ is a finitely presentable objects in $\widehat{I}$, in the sense that:

that "computes" the levelwise Euler characteristic of $F(X)$ from the levelwise Euler characteristic of $X$, when $X$ is a finitely presentable objects in $\widehat{I}$, in the sense that:

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Simon Henry
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Simon Henry
  • 42.4k
  • 5
  • 107
  • 205
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