Abstract
The evolution of every area of mathematics begins with a fundamental idea, a fundamental concept that permeates the whole structure and determines its character. The fundamental concept of topology is continuity. We encounter it already in analysis. But there, as a result of its subordination to other concepts of analysis, its development is insignificant. It is in topology that continuity has been developed fully and in all possible ways. We give two examples that illustrate its application.
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© 2001 Springer Science+Business Media New York
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Boltyanskiĭ, V.G., Efremovich, V.A. (2001). Topology of Curves. In: Intuitive Combinatorial Topology. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5604-3_1
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DOI: https://doi.org/10.1007/978-1-4757-5604-3_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2882-5
Online ISBN: 978-1-4757-5604-3
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