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Dat Minh Ha
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Which (co)limits exist in the category of adic spaces ? Also, can we impose adjectives such as "noetherian" or "quasi-compact", etc., to get more (co)limits ? I know that finite fibre products of affinoids exist within the category, but I have not been able to find references indicating that other (co)limits also exist, and I am not yet familiar enough with adic spaces to be able to test out a few examples on my own to see if other (co)limits should exist.

Which (co)limits exist in the category of adic spaces ? Also, can we impose adjectives such as "noetherian" or "quasi-compact", etc., to get more (co)limits ? I know that finite fibre products exist within the category, but I have not been able to find references indicating that other (co)limits also exist, and I am not yet familiar enough with adic spaces to be able to test out a few examples on my own to see if other (co)limits should exist.

Which (co)limits exist in the category of adic spaces ? Also, can we impose adjectives such as "noetherian" or "quasi-compact", etc., to get more (co)limits ? I know that finite fibre products of affinoids exist within the category, but I have not been able to find references indicating that other (co)limits also exist, and I am not yet familiar enough with adic spaces to be able to test out a few examples on my own to see if other (co)limits should exist.

Fibre products of adic spaces exist.
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Dat Minh Ha
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Which (co)limits exist in the category of adic spaces ? Also, can we impose adjectives such as "noetherian" or "quasi-compact", etc., to get more (co)limits ? I know that finite fibre products exist within the category, but I have not been able to find references indicating that other (co)limits also exist, and I am not yet familiar enough with adic spaces to be able to test out a few examples on my own to see if other (co)limits should exist.

Which (co)limits exist in the category of adic spaces ? Also, can we impose adjectives such as "noetherian" or "quasi-compact", etc., to get more (co)limits ?

Which (co)limits exist in the category of adic spaces ? Also, can we impose adjectives such as "noetherian" or "quasi-compact", etc., to get more (co)limits ? I know that finite fibre products exist within the category, but I have not been able to find references indicating that other (co)limits also exist, and I am not yet familiar enough with adic spaces to be able to test out a few examples on my own to see if other (co)limits should exist.

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Dat Minh Ha
  • 1.5k
  • 1
  • 8
  • 21

(Co)limits of adic spaces

Which (co)limits exist in the category of adic spaces ? Also, can we impose adjectives such as "noetherian" or "quasi-compact", etc., to get more (co)limits ?