Weak braided monoidal categories and their homotopy colimits

zbMATH Open1342.18016arXiv1410.6738MaRDI QIDQ5248252

Mirjam Solberg

Publication date: 28 April 2015

Abstract: We show that the homotopy colimit construction for diagrams of categories with an operad action, recently introduced by Fiedorowicz, Stelzer and Vogt, has the desired homotopy type for diagrams of weak braided monoidal categories. This provides a more flexible way to realize E-2 spaces categorically.

Full work available at URL: https://arxiv.org/abs/1410.6738

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zbMATH Keywords

monoidal categoryhomotopy colimits

Mathematics Subject Classification ID

Loop space machines and operads in algebraic topology (55P48)

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