Point-set Topology With Topics: Basic General Topology For Graduate Studies
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A01=Robert Andre
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Author_Robert Andre
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Baire Space
Base
Cantor Set
Category1=Non-Fiction
Category=PBMW
Category=PBP
Closure Operations
Compactifications
Compactness
Completely Regular
Completion of Metric Space
Connected Spaces
Continuity
Convergence
COP=Singapore
Countably Compact
Delivery_Delivery within 10-20 working days
Embedding Theorem. Glicksberg Theorem
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
F-Space
Filters
Freudenthal Compactifications
General Topology
Hausdorff
Introductory Course
Language_English
Limit Points
Lindelof
Metric Space
Metrizability
Minkowski
Nets
Normal Space
PA=Available
Paracompact
Peano's Curve
Perfect Compactifications
Perfect Functions
Point Set
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Product Spaces
PS=Active
Pseudocompact
Quotient Spaces
Real Z-Ultrafilters
Realcompact Spaces
Regular Open
Roberta Greengrave
Semiregular Space
Semiregularization
Separation Axioms
Sequences
Sequentially Compact
Sets
Singular Compactifications
Singular Functions
softlaunch
Stone Representation Theorem
Stone Space
Stone-Weierstrass Theorem
Subbase
Topics
Totally Disconnected
Uniform Spaces
Uniform Topology
Uniformities
Z-Filters
Zero Dimensional
Product details
- ISBN 9789811277337
- Publication Date: 14 Feb 2024
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.Chapters related to the more basic ideas of general topology are followed by a collection of 'concept review' questions, the answers to which are found in the main body of the text. These questions highlight the main concepts presented in that chapter, as well as ideas that are often overlooked when first encountered, which will help to test the students' understanding. The efforts required in answering correctly such questions will provide the student with the ability to solve more complex problems in the exercises collected at the end of each section.
