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Title      : Math 3.1 Topology
Subject      : Mathematics
copyright ©  2018     : Karnataka State Open University
Author      : KSOU
Publisher      : Karnataka State Open University
Chapters/Pages      : 16/118
Total Price      : Rs.      : 85
 
 
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Chapters
     
Topological Spaces, basis for a topology, the product topology, the space topology Total views (881)  
In this unit, we give the definitions and examples for Topological spaces, basis for a topology and the product topology. Topology is the study of continuous functions defined on arbitrary sets and the properties which arc invariant under continuous functions.
Pages: 6
Price: Rs 0   
 
Closed Sets, limit points, Hausdorff spaces Total views (860)  
This unit deals with the definition of closed sets, limit points and neighborhood in a topological space. The Hausdorff spaces will we defined in the unit which deals with separation axioms.
Pages: 10
Price: Rs 7.5   
 
Continuous Functions Total views (858)  
We define continuous function and homeomorphism in this unit.
Pages: 7
Price: Rs 5.25   
 
The Metric Topology Total views (860)  
Our main objective is to study the definition and some properties of metric topology in this unit.
Pages: 4
Price: Rs 3   
 
Connected spaces, Connected sets on the Real Line,Path Connectedness Total views (291)  
In this unit, we briefly deal with components, path components and local connectedness.
Pages: 11
Price: Rs 8.25   
 
Components, Path components, Local Connectedness Total views (290)  
In this unit, we briefly deal with components, path components and local connectedness.
Pages: 3
Price: Rs 2.25   
 
Compact spaces, Compact Sets on the Real Line Total views (290)  
In this unit, we define compact space and study some properties thereof.
Pages: 5
Price: Rs 3.75   
 
Limit Point Compactness, Local Compactness Total views (289)  
In this unit,we define countable compactness and sequential compactness.
Pages: 4
Price: Rs 3   
 
First and Second Countability Axioms, Lindel of spaces and Seperable Spaces Total views (293)  
In this unit, we briefly study countability axioms and separable axioms.
Pages: 18
Price: Rs 13.5   
 
Regular and Normal Spaces Total views (293)  
We study regular spaces and normal spaces in this unit.
Pages: 8
Price: Rs 6   
 
Urysohn's Lemma Total views (293)  
In this unit , we give a proof of Urysohn's lemma and study some applications thereof.
Pages: 6
Price: Rs 4.5   
 
Tietze's Extention Theorem, Urysohn's Metrization Theorem Total views (290)  
We provide the proof for Tietze's extention theorem and Urysohn's Metrization theorem.
Pages: 7
Price: Rs 5.25   
 
Partitions of Unity, Tychonoff theorem Total views (291)  
In this unit, our main objective is to study partition of unity and give a proof for Tychonoff theorem.
Pages: 7
Price: Rs 5.25   
 
Local Finiteness Total views (291)  
In this unit, we study the Local finiteness and its properties.
Pages: 9
Price: Rs 6.75   
 
Paracompactness Total views (287)  
In this unit, we study the paracompactness and its properties.
Pages: 8
Price: Rs 6   
 
Normality of Paracompact Spaces,Stones Theorem Total views (287)  
In this unit, we give a proof for Stones theorem and study some properties of paracompact spaces.
Pages: 5
Price: Rs 3.75   
 


 
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