query: An Application: The Stone-Cech Compactification
positive_passages.docid: 154390
positive_passages.text: Stone-Čech compactification. A completely regular topological space is locally compact iff it is open in its Stone-Čech compactification.
negative_passages.docid: 97914
negative_passages.text: Contractive mapping on compact space
negative_passages.docid: 154837
negative_passages.text: mapping properties of $(1−z)^i$
negative_passages.docid: 60731
negative_passages.text: Factorization of a map between CW complexes
negative_passages.docid: 95831
negative_passages.text: Compactness and sequential compactness in metric spaces
negative_passages.docid: 29474
negative_passages.text: Compactness of $\operatorname{Spec}(A)$
negative_passages.docid: 11109
negative_passages.text: The ideal generated by a non-compact operator
negative_passages.docid: 107772
negative_passages.text: Separability of functions with compact support
negative_passages.docid: 29303
negative_passages.text: Cartesian product of compact sets is compact
negative_passages.docid: 61810
negative_passages.text: An application of Borel-Caratheodory theorem
negative_passages.docid: 45249
negative_passages.text: Pseudocompactness does not imply compactness
negative_passages.docid: 95234
negative_passages.text: Quasi-components in compact space
negative_passages.docid: 92005
negative_passages.text: Existence of compact/complete metric on countable set
negative_passages.docid: 81550
negative_passages.text: Linking two theorems: on algebraic closure and on minimal splitting field
negative_passages.docid: 118045
negative_passages.text: Is the Baire space $\sigma$-compact?
negative_passages.docid: 97669
negative_passages.text: Sheafs and closed immersion
negative_passages.docid: 29862
negative_passages.text: Projective resolution of a filtered colimit