Relating Postnikov Pieces with the Krull Filtration: a Spin-off of Serre’s Theorem
نویسندگان
چکیده
We characterize H-spaces which are p-torsion Postnikov pieces of finite type by a cohomological property together with a necessary acyclicity condition. When the mod p cohomology of an H-space is finitely generated as an algebra over the Steenrod algebra we prove that its homotopy groups behave like those of a finite complex.
منابع مشابه
Relating Postnikov pieces with the Krull filtration: a spin-o¤ of Serre’s theorem
We characterize H-spaces which are p-torsion Postnikov pieces of finite type by a cohomological property together with a necessary acyclicity condition. When the mod p cohomology of an H-space is finitely generated as an algebra over the Steenrod algebra we prove that its homotopy groups behave like those of a finite complex. In particular, a p-complete infinite loop space has a finite number o...
متن کاملThe Remak-Krull-Schmidt Theorem on\ Fuzzy Groups
In this paper we study a representation of a fuzzy subgroup $mu$ of a group $G$, as a product of indecomposable fuzzy subgroups called the components of $mu$. This representation is unique up to the number of components and their isomorphic copies. In the crisp group theory, this is a well-known Theorem attributed to Remak, Krull, and Schmidt. We consider the lattice of fuzzy subgroups and som...
متن کاملStudying the process of transformation of the start-up to the academic spin off
At todaychr('39')s universities, we are witnessing the emergence of startup companies by the startup teams by student and academic teams; unfortunately, most startups face barriers to success. On the one hand, one of the new topics entering the fourth-generation universities and can be a good target for the future of the startups; the existence of academic spin-offs, centered around scholars...
متن کاملIdentification and prioritization of barriers to the development of academics’ spin-off companies
The purpose of this research was to identify and prioritize the barriers to the development of academics’ spin-off companies by using a mixed method in Kermanshah province. In the qualitative stage, using a grounded theory, a sample of 13 people consisting of managers of the academics’ spin-off companies and Kermanshah specialists. Data were gathered through semi-structured interviews. To incre...
متن کاملSTUDY OF NUCLEAR LEVEL DENSITY AND SPIN CUT-OFF FACTORS
Nuclear level densities and spin cut-off factors have been deduced for nuclei in the mass region 24‹A‹63,from a microscopic theory, which includes nuclear pairing interaction. Single particle levels for both Seeger and Nilsson potentials were used in the calcdations. Level densities extracted from the theory are compared with their conesponding experimental values, It is found that the overall...
متن کامل