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Topological Space
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Geliefert zwischen Mi., 26.11.2025 und Do., 27.11.2025
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High Quality Content by WIKIPEDIA articles! Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The branch of mathematics that studies topological spaces in their own right is called topology. A variety of topologies can be placed on a set to form a topological space. When every set in a topology 1 is also in a topology 2, we say that 2 is finer than 1, and 1 is coarser than 2. A proof which relies only on the existence of certain open sets will also hold for any finer topology, and similarly a proof that relies only on certain sets not being open applies to any coarser topology. The terms larger and smaller are sometimes used in place of finer and coarser, respectively. The terms stronger and weaker are also used in the literature, but with little agreement on the meaning, so one should always be sure of an author's convention when reading.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130320331
- Genre Geowissenschaften
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Anzahl Seiten 72
- Herausgeber Betascript Publishers
- Größe H4mm x B220mm x T150mm
- Jahr 2009
- EAN 9786130320331
- Format Kartonierter Einband
- ISBN 978-613-0-32033-1
- Titel Topological Space
- Untertitel Limit of a Sequence, Connected Space, Continuous Function (topology), Mathematics, Topology, Axiom, Intersection (set theory), Function Space, Discrete Space
- Gewicht 113g
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