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The Checkered Smocked Space and its Tangent Cone

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arxiv 1912.06294 v1 pith:COIAP77L submitted 2019-12-13 math.MG

Victoria Antonetti , Maziar Farahzad , Ajmain Yamin This is my paper · ORCID
classification math.MG
keywords spacenormsmockedconetangentcheckeredinfinitymetric
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Smocked metric spaces were first defined in arXiv:1906.03403 and it was proved that if a norm on the Euclidean space uniformly estimates the pseudometric of a smocked metric space, then the tangent cone at infinity is unique and is a norm vector space with that estimating norm. In this paper, we explicitly calculate the norm approximating the pseudometric of the checkered smocked space and find the tangent cone at infinity.

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