- 期刊
THICKNESS IN TOPOLOGICAL TRANSFORMATION SEMIGROUPS
摘要
This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ-semigroup if there exists an invariant mean on its functions restricted to a sub-τ-semigroup of the original τ-semigroup. We sketch earlier results, then give many equivalent conditions for thickness on τ-semigroups, and finally present theorems giving conditions for an invariant mean to exist on a function space.
延伸閱讀
- Lin, C. Y. (2021). Investigation of Quantum Oscillation Effects in Topological Semimetals [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU202102280
- Berezovski, T., Gutik, O., & Pavlyk, K. (2010). Brandt Extensions and Primitive Topological Inverse Semigroups. International Journal of Mathematics and Mathematical Sciences, 2010(), 894-906. https://doi.org/10.1155/2010/671401
- Lee, Y. Y. (2009). Topological Susceptibility in the Schwinger Model [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2009.02392
- KRYSZEWSKI, W. (2003). TOPOLOGICAL STRUCTURE OF SOLUTION SETS OF DIFFERENTIAL INCLUSIONS: THE CONSTRAINED CASE. Abstract and Applied Analysis, 2003(), 325-351. https://doi.org/10.1155/S1085337503204115
- Bernardini, A. E., & Rocha, R. D. (2013). Cyclically Deformed Defects and Topological Mass Constraints. Advances in High Energy Physics, 2013(), 538-555. https://doi.org/10.1155/2013/304980