Home : Book details

Krishna's TB Metric Spaces , 1st Edition free ebook download

Category:
Mathematics

Views: 732
Likes: 55

Catalogue

Author(s):	J.P. Chauhan

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	B096545B5Q
Pages:	213	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	9/15/2021 8:57:08 AM

To download click on link in the Links Table below

Description: Click to see full description

SYLLABUS- METRIC SPACES,
Section A
Definition of distance and metric spaces. Examples of Euclidean metric space, sequence spaces and function spaces. Open spheres. Open sets and their properties. Interior of a set and its properties. Closed set and its properties. Closure of a set and its properties. Boundary of a set. Dense set. (2 questions)
Base and axioms of countability. Separable space. Subspace. Product space. Sequences and subsequences and their convergence in a metric space. Cauchy sequence.Complete metric space and its examples.Cantor ’s theorem. Baire’s category theorem. (1 questions)
Section B
Definition and properties of a compact set. Compact sets in R. Finite intersection property. Bolzano-Weierstrass property and its equivalence. Sequential compactness and total boundedness. (2 questions)
Definition of continuous mapping in a metric space. Limit of a function in a metric space. Relationship between continuity and limit. Continuity in terms of open sets and closed sets. Continuity of constant and identity mappings.
Continuity and compactness. Connectedness in a metric space. Interval as a connected subspace.
(2 questions)

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3034128	Book	https://tezfiles.com/file/dfa302f25bc30/...		3.00	eternal

Tags: Krishna Metric Spaces

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment:

Krishna's TB Metric Spaces , 1st Edition free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics