By Hajime Sato
The only so much tricky factor one faces whilst one starts to benefit a brand new department of arithmetic is to get a think for the mathematical feel of the topic. the aim of this ebook is to assist the aspiring reader collect this crucial good judgment approximately algebraic topology in a quick time period. To this finish, Sato leads the reader via basic yet significant examples in concrete phrases. in addition, effects aren't mentioned of their maximum attainable generality, yet by way of the easiest and so much crucial situations.
In reaction to feedback from readers of the unique version of this ebook, Sato has further an appendix of beneficial definitions and effects on units, basic topology, teams and such. He has additionally supplied references.
Topics coated contain primary notions akin to homeomorphisms, homotopy equivalence, basic teams and better homotopy teams, homology and cohomology, fiber bundles, spectral sequences and attribute periods. gadgets and examples thought of within the textual content comprise the torus, the Möbius strip, the Klein bottle, closed surfaces, phone complexes and vector bundles.