1 citations · 5 across the 17 of their papers we have counts for
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Categories of vector spaces and Grassmannians
Yi-Sheng Wang
We construct a new category of vector spaces which contains both the standard category of vector spaces and Grassmannians. Its space of objects classifies vector bundles, its space…
Fat realization and Segal's classifying space
Yi-Sheng Wang
In this paper, we give a new proof of a well-known theorem due to tom Dieck that the fat realization and Segal's classifying space of an internal category in the category of topolo…
An approximation of the -invariant in the stable homotopy category
Yi-Sheng Wang
In their construction of the topological index for flat vector bundles, Atiyah, Patodi and Singer associate to each flat vector bundle a particular --theory class.…
Topological -theory with coefficients and the -invariant
Yi-Sheng Wang
We compare the invariants of flat vector bundles defined by Atiyah et al. and Jones et al. and prove that, up to weak homotopy, they induce the same map, denoted by , from the $…
Simplicial Waldhausen categories and topological -theory
Yi-Sheng Wang
Utilizing simplicial Waldhausen theory, we prove that the geometric realization of the topologized category of bounded chain complexes over complex numbers (resp. real numbers) is…