By O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, and V. M. Kharlamov
This textbook on undemanding topology incorporates a particular advent to basic topology and an advent to algebraic topology through its so much classical and easy section founded on the notions of primary staff and protecting house. The e-book is customized for the reader who's made up our minds to paintings actively. The proofs of theorems are separated from their formulations and are collected on the finish of every bankruptcy. This makes the booklet seem like a natural challenge publication and encourages the reader to imagine via every one formula. A reader who prefers a extra conventional kind can both locate the proofs on the finish of the bankruptcy or pass them altogether. This sort additionally caters to the specialist who wishes a guide and prefers formulations no longer overshadowed by way of proofs. lots of the proofs are basic and straightforward to find. The booklet may be invaluable and relaxing for readers with rather diverse backgrounds and pursuits. The textual content is based in this type of approach that you can ascertain what to anticipate from every bit and the way to exploit it. there's center fabric, which makes up a comparatively small a part of the booklet. The middle fabric is interspersed with examples, illustrative and coaching difficulties, and appropriate discussions. The reader who has mastered the center fabric acquires a robust history in straightforward topology and may suppose at domestic within the surroundings of summary arithmetic. With nearly no must haves (except actual numbers), the publication can function a textual content for a direction on basic and starting algebraic topology.