TITIK INTERIOR

TITIK INTERIOR

x titik interior A bila dan hanya bila .

Interior A (Ai) adalah union dari semua himpunan terbuka yang termuat dari himpunan A atau Ai adalah himpunan terbuka dan terbesar yang termuat di dalam himpunan A.

 

Contoh 1

Tentukan titik interior A!

Cara 1

, ada himpunan terbuka yang memuat a yaitu {a} dan {a}A. Jadi a titik interior A.

Dengan cara sama, b dan c titik interior A.

, himpunan terbuka yang memuat d hanya S dan SA. Jadi d bukan titik interior A.

Jadi Ai = {a,b,c)

Cara 2

Himpunan terbuka yang termuat dalam A adalah

Jadi

 

Sumber:

Catatan Kuliah Topologi Lingga Nico Pradana.

Dosen Pengampu : Drs. H. Murdjito, M.M.

About NICO MATEMATIKA

Welcome to my blog. My name is Nico. Admin of this blog. I am a student majoring in mathematics who dreams of becoming a professor of mathematics. I live in Kwadungan, Ngawi, East Java. Hopefully in all the posts I can make a good learning material to the intellectual life of the nation. After the read, leave a comment. I always accept criticism suggestion to build a better me again .. Thanks for visiting .. : mrgreen:

Posted on January 19, 2013, in Uncategorized. Bookmark the permalink. Leave a comment.

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