Compactness (mathematics) | Properties of topological spaces
In mathematics, a topological space is feebly compact if every locally finite cover by nonempty open sets is finite. The concept was introduced by S. Mardeĉić and P. Papić in 1955. Some facts: * Every compact space is feebly compact. * Every feebly compact paracompact space is compact. * Every feebly compact space is pseudocompact but the converse is not necessarily true. * For a completely regular Hausdorff space the properties of being feebly compact and pseudocompact are equivalent. * Any maximal feebly compact space is submaximal. (Wikipedia).
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From playlist Guide to Space
Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
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From playlist Julius Sumner Miller - Full Physics Laboratory Demonstrations
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From playlist Science Unplugged: Physics
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Math 101 Introduction to Analysis 112515: Introduction to Compact Sets
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Compact sets enjoy some mysterious properties, which I'll discuss in this video. More precisely, compact sets are always bounded and closed. The beauty of this result lies in the proof, which is an elegant application of this subtle concept. Enjoy! Compactness Definition: https://youtu.be
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Every Compact Set in n space is Bounded
Every Compact Set in n space is Bounded If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
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