Abstract
This chapter studies topological spaces by imposing certain conditions, called separation axioms on these spaces in terms of their points and open sets, specially, where there is possibly no concept of distance. The additional conditions are needed, because the defining axioms for a topological space are extremely general and they are too weak to study them in depth.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Adhikari, M.R.: Basic Algebraic Topology and its Applications. Springer, India (2016)
Adhikari, M.R.: Basic Topology, Volume 3: Algebraic Topology and Topology of Fiber Bundles. Springer, India (2022)
Adhikari, M.R., Adhikari, A.: Basic Modern Algebra with Applications. Springer, New Delhi, New York, Heidelberg (2014)
Adhikari, A., Adhikari, M.R.: Basic Topology, Volume 2: Topological Groups, Topology of Manifolds and Lie Groups. Springer, India (2022)
Bredon, G.E.: Topology and Geometry. Springer-Verlag, New York (1983)
Borisovich, Y.C.U., Blznyakov, N., Formenko, T.: Introduction to Topology. Mir Publishers, Moscow (1985). Translated from the Russia by Oleg Efimov
Brown, R.: Topology: A Geometric Account of General Topology, Homotopy Types, and the Fundamental Groupoid. Wiley, New York (1988)
Chatterjee, B.C., Ganguly, S., Adhikari, M.R.: Introduction to Topology. Asian Books, New Delhi (2002)
Conway, J.B.: A Course in Point Set Topology. Springer, Switzerland (2014)
Dugundji, J.: Topology. Allyn & Bacon, Newton, MA (1966)
Fuks, D.B., Rokhlin, V.A.: Beginner’s Course in Topology. Springer-Verlag, New York (1984)
Hu, S.T.: Introduction to General Topology. Holden-Day, San Francisco (1966)
Kelly, J.L.: General Topology, Van Nostrand, New York, 1955. Springer-Verlag, New York (1975)
Munkres, J.R.: Topology. Prentice-Hall, New Jersey (2000)
Patterson, E.M.: Topology. Oliver and Boyd (1959)
Singer, I.M., Thorpe, J.A.: Lecture Notes on Elementary Topology and Geometry. Springer-Verlag, New York (1967)
Stephen, W.: General Topology. Addison-Wesley (1970)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Adhikari, A., Adhikari, M.R. (2022). Separation Axioms. In: Basic Topology 1. Springer, Singapore. https://doi.org/10.1007/978-981-16-6509-7_4
Download citation
DOI: https://doi.org/10.1007/978-981-16-6509-7_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-6508-0
Online ISBN: 978-981-16-6509-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)