Low-dimensional topology usually deals with objects that are two-, three-, or four-dimensional in nature. Properly speaking, low-dimensional topology should be part of differential topology, but the general machinery of algebraic and differential topology gives only limited information. This fact is particularly noticeable in dimensions three and four, and so alternative specialized methods have evolved.

Bőrőczky, K. Jr.; Neumann, W.; and Stipsicz, A. (Eds.). Low Dimensional Topology. Budapest, Hungary: János Bolyai Mathematical Society, 1999.

Brown, R. and Thickstun, T. L. (Eds.). Low-Dimensional Topology: Proceedings of a Conference on Topology in Low Dimension, Bangor, 1979. Cambridge, England: Cambridge University Press, 1982.

Stillwell, J. Classical Topology and Combinatorial Group Theory, 2nd ed. New York: Springer-Verlag, 1993.

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Weisstein, Eric W. "Low-Dimensional Topology." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Low-DimensionalTopology.html