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Page "Well-behaved" ¶ 14
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** and Hausdorff
** Hausdorff maximal principle: In any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset.
** The Hausdorff paradox.
** CmptH, the category of all compact Hausdorff spaces
** Hausdorff dimension

** and topologies
** Support for leading networking topologies

** and are
** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.
** The additive groups of R and C are isomorphic.
** The numbers and are algebraic since they are roots of polynomials and, respectively.
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** In topology, morphisms between topological spaces are called continuous maps, and an automorphism of a topological space is a homeomorphism of the space to itself, or self-homeomorphism ( see homeomorphism group ).
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** howitzers: capable of high angle fire, they are most often employed for indirect-fire.
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** β-Lactams containing pyrrolidine rings are named carbapenams.
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** and better-behaved
** Analytic functions are better-behaved than general smooth functions.
** Smooth functions are better-behaved than general differentiable functions.
** Continuous differentiable functions are better-behaved than general continuous functions.
** Continuous functions are better-behaved than Riemann-integrable functions on compact sets.
** Riemann-integrable functions are better-behaved than Lebesgue-integrable functions.
** Lebesgue-integrable functions are better-behaved than general functions.
** Euclidean space is better-behaved than non-Euclidean geometry.
** Attractive fixed points are better-behaved than repulsive fixed points.
** Borel sets are better-behaved than arbitrary sets of real numbers.
** Spaces with integer dimension are better-behaved than spaces with fractal dimension.
** Finite-dimensional vector spaces are better-behaved than infinite-dimensional ones.
** Fields are better-behaved than skew field or general rings.
** Separable field extensions are better-behaved than non-separable ones.
** Normed division algebras are better-behaved than general composition algebras.

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