Array ( [0] => Array ( [title] => L11A [link] => https://www.youtube.com/embed/ZoHAXulJ-o8 ) [1] => Array ( [title] => L11B [link] => https://www.youtube.com/embed/y2JmOD2ggL0 ) [2] => Array ( [title] => L11C [link] => https://www.youtube.com/embed/5AygWizF7Wk ) [3] => Array ( [title] => L11D [link] => https://www.youtube.com/embed/SOXwvjlv8Dk ) ) 國立清華大學開放式課程OpenCourseWare(NTHU, OCW) - 第11講 3.2 The Heine-Borel Theorem

Title

第11講 3.2 The Heine-Borel Theorem

第1節

L11A

第2節

L11B

第3節

L11C

第4節

L11D

Syllabus

章節大綱

L11_A
        3.2 The Heine-Borel THeorem(cont.)
              (1) convergent subsequence 
              (2) Thm: compact set in R
              (3) relation of A,B subset in a metric space
 
L11_B
        3.2 The Heine-Borel THeorem(cont.)
               (1) finite subcover
                     3.3 Nested Set property
               (1) Question1:nonempty subsets 
           
L11_C
        3.3 Nested Set property(cont.)
              (1) Thm:(Nested set property)
          
L11_D
        3.3 Nested Set property(cont.)
             (1) unit sphere in R^3