I've been reading about functional analysis and topology and I came across this sentence:
subset of a topological vector space is compact with respect to the weak topology
I have been trying to search the web for an explanation to understand what this means, and I also tried the chat rooms without finding a satisfactory answer. English is not my native language so that might be one of the reasons I'm not getting the sentence. I do understand the concepts of topological space, compactness and weak topology.
My question is: What does this sentence mean, explicitly?