Bik, Michel Arthur (2020). Strength and Noetherianity for infinite Tensors. (Thesis). Universität Bern, Bern

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Abstract

This thesis has four chapters. Chapter 1 introduces the concepts of Noetherianity up to the action of a group and polynomial functors. In Chapter 2, we prove that certain spaces associated to sequences of diagonal embeddings are Noetherian up to the action of the groups acting on them. Chapter 3 is devoted to investigating the strength of polynomials. In Chapter 4, we study closed subsets of polynomial functors. We prove that strict closed subsets always arise as unions of images from smaller polynomial functors.

Item Type:	Thesis
Dissertation Type:	Single
Date of Defense:	29 June 2020
Subjects:	500 Science > 510 Mathematics
Institute / Center:	08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics
Depositing User:	Hammer Igor
Date Deposited:	02 Jul 2020 12:55
Last Modified:	29 Jun 2021 00:30
URI:	https://boristheses.unibe.ch/id/eprint/2031

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