MAA Reviews

Topology: General Topology

* Alexandroff, Paul. Elementary Concepts of Topology Mineola, NY: Dover, 1961.

Arkhangelski i, A.V. and Pontrjagin, Lev S., eds. General Topology I: Basic Concepts and Constructions, Dimension Theory New York, NY: Springer-Verlag, 1990.

* Bing, R.H. Elementary Point Set Topology Washington, DC: Mathematical Association of America, 1960.

Bourbaki, Nicolas. Elements of Mathematics: General Topology New York, NY: Springer-Verlag, 1989.

** Chinn, William G. and Steenrod, Norman E. First Concepts of Topology Washington, DC: Mathematical Association of America, 1966.

Dugundji, James. Topology Boston, MA: Allyn and Bacon, 1966.

Fuks, D.B. and Rokhlin, V.A. Beginner's Course in Topology: Geometric Chapters New York, NY: Springer-Verlag, 1984.

Gamelin, Theodore W. and Greene, Robert E. Introduction to Topology Philadelphia, PA: Saunders College, 1983.

Gemignani, Michael C. Elementary Topology, Mineola, NY: Dover, 1990. Second Edition.

Hausdorff, Felix. Set Theory, New York, NY: Chelsea, 1957, 1978. Third Edition.

Hurewicz, Witold and Wallman, Henry. Dimension Theory Princeton, NJ: Princeton University Press, 1941.

* Kaplansky, Irving. Set Theory and Metric Spaces, New York, NY: Chelsea, 1977. Second Edition.

* Kelley, John L. General Topology, New York, NY: Springer-Verlag, 1975.

Kuratowski, K. Topology, New York, NY: Academic Press, 1966, 1969. 2 Vols.

*** Munkres, James R. Topology: A First Course Englewood Cliffs, NJ: Prentice Hall, 1975.

Newman, M.H.A. Elements of the Topology of Plane Sets of Points New York, NY: Cambridge University Press, 1964.

** Oxtoby, John C. Measure and Category: A Survey of the Analogies between Topological and Measure Spaces, New York, NY: Springer-Verlag, 1980. Second Edition.

Sierpinski, W. General Topology Toronto: University of Toronto Press, 1952.

* Simmons, George F. Introduction to Topology and Modern Analysis Melbourne, FL: Robert E. Krieger, 1983.

* Steen, Lynn Arthur and Seebach, J. Arthur, Jr. Counterexamples in Topology, New York, NY: Springer-Verlag, 1978. Second Edition.

Sutherland, W.A. Introduction to Metric and Topological Spaces New York, NY: Clarendon Press, 1975.

** Willard, Stephen. General Topology Reading, MA: Addison-Wesley, 1970.

Topology: Geometric Topology

* Atiyah, Michael F. The Geometry and Physics of Knots New York, NY: Cambridge University Press, 1990.

Burde, Gerhard and Zieschang, Heiner. Knots Hawthorne, NY: Walter de Gruyter, 1985.

* Crowell, Richard H. and Fox, Ralph H. Introduction to Knot Theory New York, NY: Springer-Verlag, 1977.

** Firby, P.A. and Gardiner, C.F. Surface Topology New York, NY: Ellis Horwood, 1982.

Flegg, H. Graham. From Geometry to Topology Philadelphia, PA: Crane, Russak, 1974.

* Francis, George K. A Topological Picturebook New York, NY: Springer-Verlag, 1987.

Freedman, M.H. and Luo, Feng. Selected Applications of Geometry to Low-Dimensional Topology Providence, RI: American Mathematical Society, 1990.

* Griffiths, H.B. Surfaces, New York, NY: Cambridge University Press, 1976, 1981. Second Edition.

Kauffman, Louis H. On Knots Princeton, NJ: Princeton University Press, 1987.

Moise, Edwin E. Geometric Topology in Dimensions 2 and 3 New York, NY: Springer-Verlag, 1977.

* Montesinos, Jose Maria. Classical Tessellations and Three-Manifolds New York, NY: Springer-Verlag, 1987.

Reidemeister, K. Knot Theory Moscow, ID: BCS Associates, 1983.

** Rolfsen, Dale. Knots and Links, Boston, MA: Publish or Perish, 1976, 1991. Second Edition.

Rourke, C.P. and Sanderson, B.J. Introduction to Piecewise-Linear Topology New York, NY: Springer-Verlag, 1972.

Wall, C.T.C. A Geometric Introduction to Topology Reading, MA: Addison-Wesley, 1972.

** Weeks, Jeffrey R. The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds New York, NY: Marcel Dekker, 1985.

Topology: Algebraic Topology

Aleksandrov, P. Combinatorial Topology, Baltimore, MD: Graylock Press, 1956--60. 3 Vols.

** Armstrong, M.A. Basic Topology New York, NY: Springer-Verlag, 1983, 1990.

* Artin, Emil. Introduction to Algebraic Topology Columbus, OH: Charles E. Merrill, 1969.

* Blackett, Donald W. Elementary Topology: A Combinatorial and Algebraic Approach, New York, NY: Academic Press, 1982.

Giblin, P.J. Graphs, Surfaces and Homology: An Introduction to Algebraic Topology, New York, NY: Chapman and Hall, 1981. Second Edition.

* Gramain, Andre. Topology of Surfaces Moscow, ID: BCS Associates, 1984.

* Greenberg, Marvin Jay and Harper, John R. Lectures on Algebraic Topology, Reading, MA: W.A. Benjamin, 1967, 1981. Second Edition.

*** Henle, Michael. A Combinatorial Introduction to Topology New York, NY: W.H. Freeman, 1979.

Janich, Klaus. Topology New York, NY: Springer-Verlag, 1984.

* Kosniowski, Czes. A First Course in Algebraic Topology New York, NY: Cambridge University Press, 1980.

Lefschetz, Solomon. Topology, New York, NY: Chelsea, 1956. Second Edition.

** Massey, William S. Algebraic Topology: An Introduction New York, NY: Springer-Verlag, 1977.

Massey, William S. A Basic Course in Algebraic Topology New York, NY: Springer-Verlag, 1991.

Milnor, John W. Singular Points of Complex Hypersurfaces Princeton, NJ: Princeton University Press, 1968.

Milnor, John W. and Stasheff, James D. Characteristic Classes Princeton, NJ: Princeton University Press, 1974.

** Munkres, James R. Elements of Algebraic Topology Reading, MA: Addison-Wesley, 1984.

Naber, Gregory L. Topological Methods in Euclidean Spaces New York, NY: Cambridge University Press, 1980.

Pontrjagin, Lev S. Topological Groups, New York, NY: Gordon and Breach, 1966. Second Edition.

Pontrjagin, Lev S. Foundations of Combinatorial Topology Baltimore, MD: Graylock Press, 1952.

Seifert, Herbert and Threlfall, W. A Textbook of Topology New York, NY: Academic Press, 1980.

Spanier, Edwin H. Algebraic Topology New York, NY: McGraw-Hill, 1966.

* Stillwell, John. Classical Topology and Combinatorial Group Theory New York, NY: Springer-Verlag, 1980.

* Vick, James. Homology Theory: An Introduction to Algebraic Topology New York, NY: Academic Press, 1973.

Topology: Differential Topology

* Almgren, F.J. Plateau's Problem Redwood City, CA: Benjamin Cummings, 1966.

Auslander, Louis and Mackenzie, Robert E. Introduction to Differentiable Manifolds Mineola, NY: Dover, 1977.

Brocker, Th. and Janich, Klaus. Introduction to Differential Topology New York, NY: Cambridge University Press, 1982.

Chillingworth, D.R.J. Differential Topology with a View to Applications Brooklyn, NY: Pitman, 1976.

** Guillemin, Victor and Pollack, Alan. Differential Topology Englewood Cliffs, NJ: Prentice Hall, 1974.

* Hirsch, Morris W. Differential Topology New York, NY: Springer-Verlag, 1976.

** Milnor, John W. Topology from the Differentiable Viewpoint Charlottesville, VA: University Press of Virginia, 1965.

* Milnor, John W. Morse Theory Princeton, NJ: Princeton University Press, 1963.

*** Singer, I.M. and Thorpe, John A. Lecture Notes on Elementary Topology and Geometry New York, NY: Springer-Verlag, 1987.

Warner, Frank W. Foundations of Differentiable Manifolds and Lie Groups New York, NY: Springer-Verlag, 1983.