Topology and Analysis Forum

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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.
Undergrad ##SL(2,\mathbb R)## Lie group as manifold
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High School A Question Relating Sum of Angles and Breaking of the Parallel Postulate
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Undergrad ##1^x =2## has complex solutions?
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Undergrad Is the Projection Restriction to a Linear Subspace a Homeomorphism?
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Undergrad New Video Course on General Topology on YouTube
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Undergrad On a proof of the converse of the supporting hyperplane theorem
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Undergrad ##SU(2)## homeomorphic with ##\mathbb S^3##
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Undergrad Bloch Analysis proof of Theorem 2.5.5 (Definition by recursion)
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Undergrad How do I use the four axioms of a neighborhood to define an open set?
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Undergrad How to define an open set using the four axioms of a neighborhood
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Undergrad Is the Belt Trick Possible with Continuous Deformation in 3D Rotation Space?
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Undergrad On differentiability and Fourier coefficients (Vretblad's text)
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Graduate Complex analysis -- Essential singularity
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Undergrad On limit of convolution of function with a summability kernel
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Undergrad Fourier coefficients of convolution
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Undergrad Outer measure .... Axler, Result 2.14 .... Another Question ....
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Undergrad Bounding modulus of complex logarithm times complex power function
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High School Confusion with the basics of Topology (Poincare conjecture)
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Undergrad Is a Locally One-to-One Proper Map Globally Bijective?
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Undergrad On a remark regarding the Cauchy integral formula
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Undergrad Continuity of Quotient of Complex Values
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Undergrad Complex function, principal value notation
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Undergrad Infinity Numbers (Expanded P-Adic Numbers)
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High School Getting from complex domain to real domain
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Undergrad Naming convention for "Functional Variance"?
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Undergrad Why is this function not ##L^1(\mathbb{R} \times \mathbb{R})##?
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High School Why is the set {(x,y)∈Ω×R|y=f(x)} a manifold?
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Graduate Topology - Boundary of a ball without a point
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Graduate Why the triangle inequality is greater than the 2 max{f(x),g(x)}
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Undergrad Feedback for my YouTube Videos on Real Analysis
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High School How Do Dedekind Cuts Affect Addition and Negative Numbers?
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Undergrad Using Residues (Complex Analysis) to compute partial fractions
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Undergrad Is the Set of Integer Outputs of sin(x) Sequentially Compact in ℝ?
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Graduate Even with a whimsical mathematical usage, solutions are obtained!
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Undergrad Circuits or edge-disjoint unions of circuits in a connected graph
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Undergrad How can you represent a point by "z = x + iy" as shown here?
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Undergrad Can you somehow make left handed helix into a right handed?
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MHB Outer measure .... Axler, Result 2.8 ....
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Undergrad Calculate the residue of 1/Cosh(pi.z) at z = i/2 (complex analysis)
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High School Mapping wave forms to sphere, does wave form y=0 have a reflection?
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High School Is this a complex number at the second quadrant?
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High School Wolfram Alpha's Why the 2 i π n?
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High School Aperiodic Tiling with a single tile shape
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Graduate Regarding fibrations between smooth manifolds
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Undergrad Geometry of series terms of the Riemann Zeta Function
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Undergrad I need a mapping from the unit Hypercube [0,1]^n to a given simplex
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Undergrad Discrete Subrings of Complex Numbers: Topology of Rings
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MHB Checking Proof of Theorem 6.2.8 Part (ii)
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Undergrad I would like opinions of the latest draft of my note - Integration
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Undergrad Upper and Lower Darboux Sum Inequality
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Graduate Question about the Poincaré conjecture
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Undergrad Original definition of Riemann Integral and Darboux Sums
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MHB How to Prove \(\text{vol}_n (B) = \text{vol}_n (B') + \text{vol}_n (B'')\)?
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Graduate Infinite series of this type converges?
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Undergrad In a 3-dimension isoperimetric problem, a ball maximizes the volume
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Undergrad Create a surjective function from [0,1]^n→S^n
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Undergrad Lars Olsen proof of Darboux's Intermediate Value Theorem for Derivatives
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Graduate Norm 2, f Integrable function, show: ##||f-g||_2<\epsilon##
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Undergrad Does topology distinguish between real and imaginary dimensions?
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Undergrad Proof of i-th Root of i: Analytic Connection?
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Undergrad Understanding the Role of the Identity Map in Fundamental Group Theory
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MHB How to Prove a Complex Number Equation and Its Trajectory Forms a Circle?
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Graduate What is the significance of the Poincaré conjecture?
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Undergrad Understanding an argument in Intermediate Value Theorem
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Undergrad Applications of complex gamma (or beta) functions in physics?
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Undergrad Are there any elementary functions of norms that are still norms?
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Undergrad Applications of measurement of commutativity
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Graduate Ref: "Standard" Action of S^1 on S^n ?
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High School Is the Texan Conjecture a mathematical truth or a myth?
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MHB The Supremum of a Set is not an Interior Point
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MHB Question via email about complex numbers
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MHB Effie's question via email about Complex Numbers
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MHB Can This Forgotten Formula Simplify the Laplace Transform of \(y(t)^3\)?
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MHB Sava's question via email about solving complex number equations
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Undergrad If a sequence converges, then all subsequences of it have same limit
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MHB How Can I Tackle Difficult Questions Effectively?
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Undergrad Who Rediscovered Archimedes' Lemma in Modern Mathematics?
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Undergrad Simplify Tricky Equation for Purely Imaginary C with Complex Constants
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Graduate Laurent series for algebraic functions
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MHB Proving Measure Space Properties of $(X,\bar{\mathcal{B}} ,\bar{\mu})$
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Graduate PD code yields two different knot diagrams
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Undergrad How can I use the concept of a proper map to show that a set is bounded?
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Undergrad Rewriting the Toeplitz Conjecture
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Undergrad ##\epsilon - \delta## proof and algebraic proof of limits
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High School Does this help solve the Riemann Hypothesis?
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MHB Prove that the function is monotonic and not decreasing
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High School Is the 10 Dimensional Poincaré Group a Coincidence?
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Graduate What does the metric of a 6D space with 3 compactified dimensions look like?
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Undergrad Is it valid to express a complex number as a vector?
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Undergrad The asymptotic behaviour of Elliptic integral near k=1
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Undergrad I need integrals Int[0,infty]t^(a-1) e^(-t) F(z, e^(-t))dt
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High School Is the Geometry/Topology of Mazes a thing?
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MHB Proving Relatively Compactness in C([a, b]) using Arzelá-Ascoli Theorem
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MHB Prove that it converges uniformly
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Undergrad Functions.wolfram.com accepted and published my formula for Gamma Fn
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Undergrad Proving a convergent sequence is bounded
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Undergrad How Does Fourier Transform Analyze Beats in Signals?
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Undergrad Proof of Induction Principle starting from N, not from 1
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Undergrad Looking for an expert on integrals
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MHB Discover the Limit of a Sequence with Easy-to-Follow Steps
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