On D.K. Biss' papers "The homotopy type of the matroid Grassmannian" and "Oriented matroids, complex manifolds, and a combinatorial model for BU"

2007/09/10 by N. Mnev, Nikolai Mnëv, Mnev, N. · 2 voices · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0709.1291

Abstract

We point out a flaw in papers by Daniel Biss devoted to homotopy type of matroid Grassmannians.

Cited by

• Notes on model structures on preorders

Discussions

• Yeah, I'm not a mathematician but this seems far less egregious than many retractions I've seen in scientific papers for fabricating data. Here's one of the letters explaining one issue. It's complex, [bsky, 20 points, 1 comments]
• interesting error. the cover mentioned here obliquely is, e.g. for open arc you take all the points in the circle save one, and then a proper closed arc starting that point. intersecting the closed ar [bsky, 1 points, 0 comments]

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