Fixed points of higher group actions

Content created by Egbert Rijke.

Created on 2023-04-10.
Last modified on 2023-04-10.

module higher-group-theory.fixed-points-higher-group-actions where
Imports 
open import foundation.universe-levels

open import higher-group-theory.higher-group-actions
open import higher-group-theory.higher-groups

Idea

The type of fixed points of a higher group action X : BG → UU is the type of sections (u : BG) → X u.

Definition

fixed-point-action-∞-Group :
  {l1 l2 : Level} (G : ∞-Group l1) (X : action-∞-Group l2 G) → UU (l1 ⊔ l2)
fixed-point-action-∞-Group G X = (u : classifying-type-∞-Group G) → X u

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