Basic Topology Armstrong Pdfleadingdwnload

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I find this to be the best compromise between rigor and approachability. This one is the most complete and rigorous intro book I know of, but it ain’t always fun to read. I like the choice and ordering of topics here, but the book indulges a bit too much in pathologies. Basic Topology - M.A.Armstrong Answers and Solutions to Problems and Exercises Gaps (things left to the reader) and Study Guide 1987 / 2010 editions Gregory R. Grant University of Pennsylvania email: email protected April 2015.

In my schooling for math, I have yet to encounter a worse text book than Armstrong. To begin with, the book opens with a long chapter that tries to motivate the subject by summarizing the rest of the book. Obviously this doesn't work out too well, as the reader has yet to even get a feel for topology; a lot of hand waving is utilized, and totally non-rigorous pseudo-definitions are given for important things, such as topological spaces themselves, that only serve to confuse later on. Then the author has the audacity to refer back to this chapter full of non-information when actually attempting to develop topology in a mathematically rigorous manner. As for organization, there is none. The book buries theorems and proofs in paragraphs. There are no signals that proofs are over, and one normally has to search the chapters for relevant information. It is also worth noting that said information is often given in a most baffling order.It's also important to point out that useful examples are almost nonexistent, and this is a major problem considering the level of exercises that Armstrong tries to give his readers. Speaking of the exercises, Armstrong often leaves very important theorems and definitions buried within these as well. And this is not your typical 'leave to the exercises' complaint, oh no--he leaves incredibly important definitions and proofs to the reader, such as the existence of the one-point compactification. One may spend an entire class discussing this result, yet Armstrong leaves it to the student.In the end, I would recommend this text to no one. Do not believe those who cite its mathematical 'beauty.' These people are fools. Get James Munkres's Topology 2nd Edition instead for your first course in Topology. For every terrible thing that I can say about Armstrong, I have a good comment about Munkres. An excellent alternative.

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Basic Topology Armstrong Pdfleadingdwnload Tool

  • Special Office hours: (Cao) May 6 morning; (Au) May 10 afternoon.
  • Exam on May 12
  • Test Dates: Feb 4, March 24
  • Test Venue: Fung King Hey Swire Hall 1
  • Coverage of Test 2:
    Continuous mappings
    Sequences
    Between closed sets, sequences, and continuity
    Complete metric spaces
    Nowhere dense and Baire Category
    Product spaces
    Quotient spaces
  • Coverage of Test 1:
    Topology (metric included),
    Open and closed sets,
    Base and subbase (countability included).

General Information

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  • Thomas Kwok-keung AU
    • Office: LSB 213
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    • Office Hours: By appointment

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  • Yalong Cao
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  • Lecture: Tue 1430-1615 at LSB LT3; Thu 1530-1615 at MMW 702
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Course Description

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Textbooks

  • Sheldon W. Davis. Topology. McGraw Hill.
  • James R. Munkres. Topology. Prentice Hall.

Basic Topology Armstrong Solutions


References

  • Thomas K. Au. An Introduction to Topology. Preprint Manuscript.
  • M. A. Armstrong. Basic Topology. Springer Verlag.
  • W. F. Basener. Topology and its applications. Wiley.
  • G. F. Simmons. Introduction of Topology and Modern Analysis. McGraw Hill.
  • J. L. Kelly. General Topology. Springer Verlag.

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Last updated: May 08, 2016 12:14:10