Jan

30

2021

Topology (UNITEXT)

adteam 30 Jan 2021 09:03 LEARNING » e-book


Topology (UNITEXT)


Topology (UNITEXT)
pdf | 4.14 MB | English | Isbn:978-3319169576 |
Author: Marco Manetti | PAge: 315 | Year: 2015



Description:

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises.
The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.


High Speed Download

Add Comment

  • People and smileys emojis
    Animals and nature emojis
    Food and drinks emojis
    Activities emojis
    Travelling and places emojis
    Objects emojis
    Symbols emojis
    Flags emojis