A.T. Fomenko
, Double cover of the Klein bottle by torus
Pasha Zusmanovich
6/7TOPO Topology, winter semester 2026/2027
LITERATURE
Main:
J.R. Munkres,
Topology
, 2nd ed., Prentice Hall, 2000
O.Ya. Viro, O.A. Ivanov, N.Yu. Netsvetaev, V.M. Kharlamov,
Elementary Topology. Problem Textbook
, AMS, 2008
Referred in what follows as [V]
Additional:
A.V. Arkhangelskii, V.I. Ponomarev,
Fundamentals of General Topology: Problems and Exercises
, D. Reidel, 1984
R. Engelking,
General Topology
, revised and completed ed., Heldermann Verlag, 1989
A. Fomenko, D. Fuchs,
Homotopical Topology
, 2nd ed., Springer, 2016
(included here solely for its pictures)
M.W. Hirsch,
Differential Topology
, Springer, 2001
J.F. Kelley,
General Topology
, Van Nostrand, 1955; reprinted by Springer, 1975 and Dover, 2017
C. Kosniowski,
A First Course in Algebraic Topology
, Cambridge Univ. Press, 1980
(Russian edition only)
J.W. Milnor,
Topology from the Differentiable Viewpoint
, The University Press of Virginia, 1965
S.A. Morris,
Topology Without Tears
M. Starbird, F. Su,
Topology Through Inquiry
, MAA Press, 2019
All the books are available in electronic form.
= available in the university library
A BRIEF SYNOPSIS
(Each class lasted approximately 1.5 hours, unless specified otherwise; tutorials are running separately)
TBD
EXAM
TBD
A brief synopsis, videos, and homeworks from this course at the previous semesters
Created: Fri Oct 2 2020
Last modified: Thu Sep 17 2026 13:13:17 CEST