alexa On Equivalent Conditions for Compactness in Metric Spa
ISSN ONLINE(2319-8753)PRINT(2347-6710)

International Journal of Innovative Research in Science, Engineering and Technology
Open Access

Like us on: https://twitter.com/ijirset_r
OMICS International organises 3000+ Global Conferenceseries Events every year across USA, Europe & Asia with support from 1000 more scientific Societies and Publishes 700+ Open Access Journals which contains over 50000 eminent personalities, reputed scientists as editorial board members.

Open Access Journals gaining more Readers and Citations

700 Journals and 15,000,000 Readers Each Journal is getting 25,000+ Readers

This Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)

Research Article

On Equivalent Conditions for Compactness in Metric Spaces

 
To read the full article Peer-reviewed Article PDF image

Abstract

In this paper the comparison of two types of conditions (A) and (B) on a topological space is made. It is proved that the condition (A) is equivalent to (B) and normality of the topological space. Furthermore pre compactness is a necessary condition for (A) on a uniform space. Condition (A):- For any two disjoint closed sets at least one is compact. Condition (B):- For any two normally separable closed sets at least one is compact. Further it is proved that in metric spaces, these conditions (A) and (B) are equivalent to compactness

Keywords

Share This Page

Additional Info

Loading
Loading Please wait..
Peer Reviewed Journals
 
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
 
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

 
© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version
adwords