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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Frames and Locales: Topology Without Points

Frames and Locales: Topology Without Points

Picado, Jorge
Pultr, Ales

Paperback

Series: Frontiers in Mathematics, Book 28

General Mathematics

ISBN10: 303480153X
ISBN13: 9783034801539
Publisher: Birkhauser
Published: Oct 22 2011
Pages: 398
Weight: 1.20
Height: 1.00 Width: 6.10 Depth: 9.10
Language: English

Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a realistic place (spot, grain) of non-trivial extent.

Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory.

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