If L = [0, 1], sequential ultra-compactness, sequential N-compactness and sequential strong compactness imply sequential S*-compactness, and sequential S*-compactness implies sequential F-compactness. The intersection of a sequentially S*-compact L-set and a closed L-set is sequentially S*-...
On countable compactness and sequential compactness 喜欢 0 阅读量: 23 作者:Hao,Xuan,Zhou 摘要: If a countably compact space can be expressed as a union of less then many first countable subspaces, then MA implies that is sequentially compact. Also MA implies that every countably compact ...
In a general topological space, compactness and sequential compactness are not equivalent; it is possible to find compact topological spaces which are...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer your tough ...
Surprisingly, the stronger version of sequential completeness called sequential h-completeness (all continuous homomorphic images are sequentially complete) implies pseudocompactness in the presence of good algebraic properties such as nilpotency. We also study quotients of sequentially complete groups and ...
Further, we find the necessary and sufficient condition for compactness of LA in the class (X,l∞(q)) (where X is any of the spaces l∞(B~,p), c(B~,p) or c0(B~,p)) and characterize some classes of compact operators on these spaces by using the Hausdorff measure of the non...
Since structure in the initial conditions implies structure at the level of the generator’s dynamics, this analysis implies that LFADS produces dynamic trajectories that show similarity based on the kinematics of the reach type for a given trial, despite LFADS not having any information about ...
\c{C}akall{\i} extended the concept to topological group setting and introduced the concept of $G$-sequential compactness and investigated $G$-sequential continuity and $G$-sequential compactness in topological groups. In this paper we give a further investigation of $G$-sequential continuity in...