Search results for "Essential dimension"
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Breaking the Traditional Style of Finnish Civic Activity
2010
In this article, “the basic idea is to introduce the idea of style as an approach to (political) activity and, especially, as an alternative practice to ideological activity.” Using the example of animal-rights activism, the author posits something “decidedly new” in Finnish civic activity, which traditionally has been channelled through institutions: Finnish movements have been state-oriented, with demands being addressed to the government, and have emphasized knowledge-based rationality as the measure for competent activity. The author categorically rejects “the notion that, in politics, style is anything more than a superficial curtain, behind which the true contents of politicking can …
Rectifiability of RCD(K,N) spaces via δ-splitting maps
2021
In this note we give simplified proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via -splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus developed by Gigli and on the convergence and stability results by Ambrosio-Honda. peerReviewed