COMPACT SETS IN METRIC SPACES : #compact #metric #spaces
Compact Sets In Metric Spaces : Contents : * Open Cover of a metric space * Open Sub Cover of a metric space * Compact Set * Examples Open Cover : Let K be a non-empty subset of a metric space X. A collection {G⍺/⍺ ꜪΔ} of open subsets of X is called an open cover of K if K⊆⋃ G⍺. For example : Consider a metric space (R,d) where R is the set of all real ...