On sifted homotopy colimits of algebras over an $N_{\infty}$-operad

TL;DR

The paper proves that the forgetful functor from algebras over an $N_{ abla}$-operad to equivariant spaces preserves sifted homotopy colimits, advancing understanding of algebraic structures in equivariant homotopy theory.

Contribution

It establishes that the forgetful functor maintains sifted homotopy colimits for algebras over $N_{ abla}$-operads, a novel result in equivariant algebraic topology.

Findings

The forgetful functor preserves sifted homotopy colimits.

This preservation holds specifically for algebras over $N_{ abla}$-operads.

The result enhances the understanding of algebraic structures in equivariant homotopy theory.

Abstract

We prove that the forgetful functor from algebras over an $N_{\infty}$-operad to equivariant spaces preserves sifted homotopy colimits