Pages with the most categories
From Maths
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- Operations on convergent sequences of real numbers (23 categories)
- Equivalent conditions to a set being bounded (21 categories)
- If an inner product is non-zero then both arguments are non-zero (21 categories)
- Borel sigma-algebra of the real line (20 categories)
- Comparison test for real series (20 categories)
- Every convergent sequence is Cauchy (20 categories)
- The vector space of all linear maps between two spaces (20 categories)
- A monotonically increasing sequence bounded above converges (19 categories)
- Trivial (19 categories)
- Equivalence classes are either equal or disjoint (18 categories)
- Given a Hilbert space and a non-empty, closed and convex subset then for each point in the space there is a closest point in the subset (18 categories)
- Monotonicity of the integral of non-negative extended-real-valued measurable functions with respect to a measure (18 categories)
- Ring (18 categories)
- The closure of a linear subspace of a normed space is a linear subspace (18 categories)
- The relation of path-homotopy is preserved under composition with continuous maps (18 categories)
- Cauchy-Schwarz inequality for inner product spaces (17 categories)
- For a vector subspace of a topological vector space if there exists a non-empty open set contained in the subspace then the spaces are equal (17 categories)
- Graph (17 categories)
- Group (17 categories)
- If two charts are smoothly compatible with an atlas then they are smothly compatible with each other (17 categories)
- Kronecker delta (17 categories)
- Minimum function (17 categories)
- Square root (real function) (17 categories)
- Topological retraction (17 categories)
- Topology induced by a metric (17 categories)
- A compact and convex subset of Euclidean n-space with non-empty interior is a closed n-cell and its interior is an open n-cell (16 categories)
- A set is bounded if and only if for all points in the space there is a positive real such that the distance from that point to any point in the set is less than the positive real (16 categories)
- Bounded sequence (16 categories)
- Comparison test for real series/Statement (16 categories)
- Every surjective map gives rise to an equivalence relation (16 categories)
- Factoring a function through the projection of an equivalence relation induced by that function yields an injection (16 categories)
- Homotopy invariance of path concatenation (16 categories)
- If a subsequence of a Cauchy sequence converges then the Cauchy sequence itself also converges (16 categories)
- Intermediate value theorem (16 categories)
- Monotone convergence theorem for non-negative numerical measurable functions (16 categories)
- Proof that the fundamental group is actually a group (16 categories)
- Series (summation) (16 categories)
- Set subtraction (16 categories)
- The norm of a space is a uniformly continuous map with respect to the topology it induces (16 categories)
- The singular homology groups of a 1-point space are all trivial except the zeroth which is isomorphic to the integers (16 categories)
- Unique lifting property (16 categories)
- Weierstrass approximation theorem (16 categories)
- UTLOC:1 (16 categories)
- A continuous map induces a homomorphism between fundamental groups (15 categories)
- Bounded set (15 categories)
- Canonical injection of the subspace topology (15 categories)
- Equivalence of Cauchy sequences (15 categories)
- Every lingering sequence has a convergent subsequence (15 categories)
- Expectation of the geometric distribution (15 categories)
- Graph (topological manifold) (15 categories)