# Geometric realization and its variants

@article{Wang2018GeometricRA, title={Geometric realization and its variants}, author={Yi-Sheng Wang}, journal={arXiv: Algebraic Topology}, year={2018} }

In this paper, we present a unified approach using model category theory and an associative law to compare some classic variants of the geometric realization functor.

## 2 Citations

The homotopy groups of a homotopy group completion

- MathematicsIsrael Journal of Mathematics
- 2019

Let $M$ be a topological monoid with homotopy group completion $\Omega BM$. Under a strong homotopy commutativity hypothesis on $M$, we show that $\pi_k (\Omega BM)$ is the quotient of the monoid of…

Proper Orbifold Cohomology

- Mathematics, Physics
- 2020

The concept of orbifolds should unify differential geometry with equivariant homotopy theory, so that orbifold cohomology should unify differential cohomology with proper equivariant cohomology…

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