point-set topology
point-set topology
[′pȯint ‚set tə′päl·ə·jē] (mathematics)
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It is meant to precede his 2010 An Epsilon of Room, Volume 1, which introduces the analysis of Hilbert and Banach spaces, point-set topology, and related topics.
Readers should understand basics of point-set topology and differential topology.
There is also content revision in the following areas: Introducing point-set topology before discussing continuity, including a more thorough discussion of limsup and limimf, covering series directly following sequences, adding coverage of Lebesgue Integral and the construction of the reals, and drawing student attention to possible applications wherever possible.
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