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David Roberts
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This idea originates in homotopy theory and is due to Jardine, "Simplicial presheaves", JPAA 198747 Issue 1 (1987) pp 35–87, https://doi.org/10.1016/0022-4049(87)90100-9 (pdf).

One can not take for $X$ any site, this definition only works in a topos with "enough points".

This idea originates in homotopy theory and is due to Jardine, "Simplicial presheaves", JPAA 1987.

One can not take for $X$ any site, this definition only works in a topos with "enough points".

This idea originates in homotopy theory and is due to Jardine, "Simplicial presheaves", JPAA 47 Issue 1 (1987) pp 35–87, https://doi.org/10.1016/0022-4049(87)90100-9 (pdf).

One can not take for $X$ any site, this definition only works in a topos with "enough points".

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Dan Petersen
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This idea originates in homotopy theory and is due to Jardine, "Simplicial presheaves", JPAA 1987.

One can not take for $X$ any site, this definition only works in a topos with "enough points".