Participate in expert discussion on topology and analysis topics. This includes point-set topology, Real, complex, harmonic and functional analysis. Also measure and integration theory.
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Uniform convergence - Length of graph
- mathmari
- · Replies 21 ·
Convergence as for the cofinite topology on R
- mathmari
- · Replies 17 ·
Undergrad Is [0,1] under the subspace topology Hausdorff, Compact, or Connected?
- WWGD
- · Replies 15 ·
Graduate What Topological Vector Spaces have an uncountable Schauder basis?
- lugita15
- · Replies 6 ·
Understanding Example from Topics in Banach Space Integration
- Sara jj
- · Replies 2 ·
Solve Functional Equation on $\mathbb{Z}$
- anemone
- · Replies 1 ·
Undergrad Jordan Measurement: Accuracy You Can Trust
- graphking
- · Replies 10 ·
Undergrad Simplifying a nested radical that includes a complex number
- cbarker1
- · Replies 5 ·
Graduate Can falling factorials be a Schauder basis for formal power series?
- lugita15
- · Replies 3 ·
Laplace Convolution: f(t)=-5t^2+9
- Alex2124
- · Replies 2 ·
Graduate How can visualizing abstract spaces aid in understanding mathematical concepts?
- trees and plants
- · Replies 29 ·
Undergrad Basic measurement theory question
- BWV
- · Replies 5 ·
Undergrad Skipping elementary calculus and starting at analysis?
- Grasshopper
- · Replies 12 ·
Undergrad Analytic continuation of Dilogarithm
- aheight
- · Replies 7 ·
High School Does uniform continuity of |f| imply uniform continuity of f?
- Eclair_de_XII
- · Replies 10 ·
How can we prove the convergence of recursive defined sequences?
- mathmari
- · Replies 2 ·
Real Number Pairs $(p,\,q)$ Satisfying Inequality
- anemone
- · Replies 2 ·
Show that there is a 1-km section that he covers in 1.5 minutes
- mathmari
- · Replies 16 ·
When is the Maximum Angle for Viewing a Tower from an Airplane?
- mathmari
- · Replies 12 ·
Proving Differentiability of f at $x_0$
- mathmari
- · Replies 11 ·
Trigonometric values for six angles on the unit circle
- mathmari
- · Replies 5 ·
Undergrad What is the partition of unity used for in differential geometry?
- Santiago24
- · Replies 2 ·
Undergrad Can we prove the correspondence between a real number with a point ?
- fxdung
- · Replies 7 ·
High School Inequalities in the real numbers
- mcastillo356
- · Replies 18 ·
Calculating derivatives for various functions
- mathmari
- · Replies 6 ·
Value of f(1/2) using estimation for the remainder
- mathmari
- · Replies 14 ·
Graduate Do Dynkin Diagrams Only Describe Lie Algebras?
- phoenix95
- · Replies 2 ·
Do These Integrals Converge or Diverge?
- mathmari
- · Replies 29 ·
Why does d ∈ D iff f(d-) < f(d+) in Browder 3.14?
- Math Amateur
- · Replies 2 ·
Well-defined function that doesn't satisfy IVT
- mathmari
- · Replies 5 ·
Woman and dog meeting distances while walking home
- mathmari
- · Replies 5 ·
Composition of Two Continuous Functions .... Browder, Proposition 3.12 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad A claim regarding Fourier Series
- Raihan amin
- · Replies 2 ·
Undergrad Why +1 in Browder's Theorem 5.12 on Riemann integral existence
- Math Amateur
- · Replies 2 ·
Why the +1 in Browder's Theorem 5.12 Riemann integral proof
- Math Amateur
- · Replies 2 ·
Graduate Compute Lebesgue integral as (improper) Riemann integral
- SchroedingersLion
- · Replies 5 ·
Proving necessity in Browder's theorem 5.10 on Riemann integrals
- Math Amateur
- · Replies 2 ·
Undergrad Curve of zeta(0.5 + i t) : "Dense" on complex plane?
- Swamp Thing
- · Replies 2 ·
High School Question on a property of a function which is not a metric
- trees and plants
- · Replies 22 ·
Undergrad Can Tensors of Any Rank Be Approximated by Matrices?
- trees and plants
- · Replies 26 ·
Jacobian matrix of differentiable maps in Browder 8.21
- Math Amateur
- · Replies 2 ·
High School Principal square root of a complex number, why is it unique?
- mcastillo356
- · Replies 13 ·
Undergrad Is ##\delta##-steady needed in this proof, given ##\epsilon##-steady
- yucheng
- · Replies 2 ·
Undergrad Any Good Lecture Series on Complex Analysis?
- murshid_islam
- · Replies 6 ·
The Chain Rule in n Dimensions .... Browder Theorem 8.15 - Another Question ....
- Math Amateur
- · Replies 2 ·
Cauchy sequence proof in Browder Proposition 8.7
- Math Amateur
- · Replies 2 ·
Calculations with stepfunction(heaviside)
- goohu
- · Replies 2 ·
Real Roots of Composite Polynomials: Solving P(Q(x))=0
- anemone
- · Replies 1 ·
High School What is the Difference between imaginary part and imaginary number?
- SHASHWAT PRATAP SING
- · Replies 2 ·
High School Applications of topological spaces not homeomorphic to R^n in physics
- trees and plants
- · Replies 14 ·
Graduate Name for a subset of real space being nowhere a manifold with boundary
- disregardthat
- · Replies 5 ·
Undergrad How Do Metric Space Properties Relate to Continuity?
- trees and plants
- · Replies 8 ·
Graduate Integrability along a Hilbert space?
- LieToMe
- · Replies 16 ·
Undergrad Can a U(1) Generator be Normalized to SU(1) through Determinant Condition?
- DuckAmuck
- · Replies 5 ·
Mean value theorem in Cauchy-Riemann proof
- Math Amateur
- · Replies 2 ·
Graduate Is Fourier transformation an eigenproblem and unitary operator?
- LagrangeEuler
- · Replies 3 ·
Undergrad Bijection between infinite and finite sets in real analysis proof
- CaptainAmerica17
- · Replies 29 ·
Why is |1/√z| = 1/√|z| in Palka's complex analysis example?
- Math Amateur
- · Replies 2 ·
Undergrad A thought about the Riemann hypothesis
- r731
- · Replies 7 ·
Graduate Is the Frechet Derivative of a Bounded Linear Operator Always the Same Operator?
- LieToMe
- · Replies 2 ·
Undergrad About groups and continuous curves
- LCSphysicist
- · Replies 2 ·
Graduate Applications of analysis in signal processing/machine learning?
- Dowland
- · Replies 5 ·
Undergrad What are the applications of homology in understanding spaces and shapes?
- trees and plants
- · Replies 3 ·
Question for Intermediate Analysis ()
- AutGuy98
- · Replies 2 ·
Max Value of |bc| for Complex Numbers in Inequality
- anemone
- · Replies 2 ·
Infinite dimentional subspace need not be closed
- nwl
- · Replies 2 ·
Undergrad Why is [0,1] compact in the case of a collection of open neighborhoods?
- Mathsadness
- · Replies 9 ·
Proof of the Equality of Supremums (Or Something Like That Anyway :) )
- AutGuy98
- · Replies 2 ·
Supremum and infimum of B={(-1)^n+((-1)^n+1)/(2n)}
- AutGuy98
- · Replies 2 ·
Solving a complex value equation
- cbarker1
- · Replies 4 ·
Graduate Why is the standard basis in l2 space called a topological basis?
- LagrangeEuler
- · Replies 17 ·
Pointwise and uniform convergence of n^α xe^(-nx)
- mathmari
- · Replies 11 ·
When ratio test limit equals 1, what test should I use?
- mathmari
- · Replies 8 ·
Using Cauchy Integral Formula for Laurent Series Coefficients
- cbarker1
- · Replies 2 ·
Undergrad Differential analysis: convex functions
- madafo3435
- · Replies 2 ·
Undergrad Partial fraction decomposition of Gamma function Euler form
- benorin
- · Replies 2 ·
Undergrad Why Borel sets require closure under both unions and intersections
- Math Amateur
- · Replies 2 ·
Why countable intersections and unions of open sets don't form Borel sets
- Math Amateur
- · Replies 2 ·
Smallest σ-algebra containing countable sets in Axler example 2.28
- Math Amateur
- · Replies 5 ·
Undergrad Why is this not a space-filling curve?
- nomadreid
- · Replies 12 ·
Undergrad Smallest sigma-algebra containing countable or co-countable sets
- Math Amateur
- · Replies 5 ·
Undergrad Courant and Fritz, Construction of the real numbers
- GodfreyHW
- · Replies 2 ·
Undergrad Why does |x−x₀| not exceed |y−y₀|/5 in continuity proof?
- GodfreyHW
- · Replies 9 ·
Undergrad Why Axler says the power set of ℝ is not a σ-algebra
- Math Amateur
- · Replies 3 ·
Which property of σ-algebras does the power set of ℝ violate?
- Math Amateur
- · Replies 2 ·
Graduate The map from a complex torus to the projective algebraic curve
- victorvmotti
- · Replies 27 ·
Undergrad Why taking the infimum gives translation invariance in Axler 2.7
- Math Amateur
- · Replies 2 ·
Translation invariance of outer measure in Axler 2.7
- Math Amateur
- · Replies 2 ·
Finding Real Part of $z$ for Complex Numbers
- anemone
- · Replies 1 ·
Undergrad Proving Lebesgue outer measure monotonicity from Carothers 16.2(i)
- Math Amateur
- · Replies 6 ·
Proving the outer measure of an open interval equals b - a
- Math Amateur
- · Replies 7 ·
Undergrad Expanding open sets and shrinking closed sets in Carothers Proposition 16.1
- Math Amateur
- · Replies 5 ·
Expanding J_k and shrinking I_n in Carothers Proposition 16.1
- Math Amateur
- · Replies 2 ·
Result 2.14 in Axler: outer measure of closed interval [a,b]
- Math Amateur
- · Replies 2 ·
Proving outer measure inequality for closed intervals in Axler 2.14
- Math Amateur
- · Replies 3 ·
Undergrad Proof of outer measure of a closed interval in Axler 2.14
- Math Amateur
- · Replies 2 ·
Graduate Can the Unit Interval be Measurably Split into Two Sets of Equal Length?
- mathman
- · Replies 6 ·
Outer measure: proving |A| ≤ inf of coverings in Axler 2.5
- Math Amateur
- · Replies 4 ·
Graduate How Can I Identify a Surface as a Cone in CAD Software?
- tricha122
- · Replies 2 ·
Undergrad Alternative proof to a trivial problem
- trees and plants
- · Replies 43 ·