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22 Best Topology Books

We analyzed 3+ expert sources, curated book lists, and recommendations from successful people to find the 22 best topology books according to the internet — not just one person's opinion. Each book on this list was mentioned by at least two independent sources, and the ranking is based on how frequently each title appears across all sources studied. This consensus-based approach ensures you get recommendations backed by multiple experts, not a single reviewer's bias.

Goal: Find the best Topology books according to the internet (not just one person's opinion).

Method:

  1. Search for "best topology books" and study the top 3+ pages.
  2. Add only the books mentioned 2+ times.
  3. Rank the results neatly here.

22 Best Topology Books

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1

Differential Topology

by Victor Guillemin

Also recommended by:

Eric Weinstein

2

A Concise Course in Algebraic Topology

by J. P. May
3

Algebraic Topology

by Allen Hatcher
4

General Topology

by John L. Kelley
5

General Topology

by Stephen Willard
6

Introduction to Topology

by Bert Mendelson
7

Principles of Topology

by Fred H. Croom
8

Algebraic Topology

by C. R. F. Maunder
9

Algebraic Topology

A First Course

by William Fulton
10

Basic Topology

by M.A. Armstrong
11

Counterexamples in Topology

by Lynn Arthur Steen
12

Differential Topology

by Morris W. Hirsch
13

Elements Of Algebraic Topology

by James R. Munkres
14

Essential Topology

by Martin D. Crossley
15

Introduction to Topology and Modern Analysis

by George F. Simmons
16

Modern Geometry

Methods and Applications Part II

by B.A. Dubrovin
17

Schaums Outline of General Topology

by Seymour Lipschutz
18

Team Topologies

Organizing Business and Technology Teams for Fast Flow

by Matthew Skelton
19

The Pushing Points Topology Workbook

Volume 01

by William C Vaughan
20

Topology

by James Munkres
21

Topology and Geometry for Physicists

by Charles Nash
22

Topology from the Differentiable Viewpoint

by John Willard Milnor

Sources

Edited by

Richard Reis

Software engineer whose passion for tracking book recommendations from podcasts inspired the creation of MRB.

Anurag Ramdasan

Lead investor at 3one4 Capital whose startup expertise and love for books helped shaped MRB and its growth.

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22 Best Topology Books (2026)