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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.
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Insights A Path to Fractional Integral Representations of Some Special Functions
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I Why is this function not ##L^1(\mathbb{R} \times \mathbb{R})##?
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B Why is the set {(x,y)∈Ω×R|y=f(x)} a manifold?
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I Prove projection of a measurable set from product space is measurable
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A Topology - Boundary of a ball without a point
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I Feedback for my YouTube Videos on Real Analysis
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B Stupid Dedekind Cut Question
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I Using Residues (Complex Analysis) to compute partial fractions
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I Sequentially Compact Sets
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I Circuits or edge-disjoint unions of circuits in a connected graph
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I Can you somehow make left handed helix into a right handed?
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I Calculate the residue of 1/Cosh(pi.z) at z = i/2 (complex analysis)
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B Mapping wave forms to sphere, does wave form y=0 have a reflection?
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400
B Aperiodic Tiling with a single tile shape
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A Regarding fibrations between smooth manifolds
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I Geometry of series terms of the Riemann Zeta Function
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I I need a mapping from the unit Hypercube [0,1]^n to a given simplex
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I Discrete Subrings of Complex Numbers: Topology of Rings
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I I would like opinions of the latest draft of my note - Integration
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I Upper and Lower Darboux Sum Inequality
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I Original definition of Riemann Integral and Darboux Sums
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A Infinite series of this type converges?
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I In a 3-dimension isoperimetric problem, a ball maximizes the volume
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I Create a surjective function from [0,1]^n→S^n
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I Lars Olsen proof of Darboux's Intermediate Value Theorem for Derivatives
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A Norm 2, f Integrable function, show: ##||f-g||_2<\epsilon##
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I Does topology distinguish between real and imaginary dimensions?
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I Understanding an argument in Intermediate Value Theorem
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I Are there any elementary functions of norms that are still norms?
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I Applications of measurement of commutativity
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A Ref: "Standard" Action of S^1 on S^n ?
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B The Texan Conjecture
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MHB The Supremum of a Set is not an Interior Point
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MHB A forgotten L-Transform formula
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I If a sequence converges, then all subsequences of it have same limit
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A Laurent series for algebraic functions
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A PD code yields two different knot diagrams
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MHB Sobolev space H^2(0,1) and H^3(0,1)
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I Showing a Set is bounded
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I ##\epsilon - \delta## proof and algebraic proof of limits
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A What does the metric of a 6D space with 3 compactified dimensions look like?
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MHB Summation of a series
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I The asymptotic behaviour of Elliptic integral near k=1
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I I need integrals Int[0,infty]t^(a-1) e^(-t) F(z, e^(-t))dt
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MHB Exploring Proposition 6.1.2 from D&K's Multidimensional Real Analysis II (Integration)
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I Functions.wolfram.com accepted and published my formula for Gamma Fn
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MHB Outer measure .... Axler, Result 2.8 ....
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I Proving a convergent sequence is bounded
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I Fourier transform of a beat
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I Proof of Induction Principle starting from N, not from 1
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I Looking for an expert on integrals
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A Confused by a theorem in Milnor-Stasheff
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I Looking for Someone Strong in Analysis
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MHB Recursive Function Query
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I Hopf Fibration, torus with fibers, do it 2 ways?
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MHB Proving Lemma 3.3 of L&S: Further Aspects of the Proof
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I What's the definition of "periodic extension of a function"?
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MHB An Aspect of Lemma 3.3 .... Laczkovich and Vera T Sos .... L&S ....
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I Show that (0, ∞) is homeomorphic to (0, 1)
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MHB Checking Proof of Theorem 6.2.8 Part (ii)
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MHB Infinite series involving 'x' has a constant value
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MHB Understanding Riemann Integrable Functions: Interpreting D&K Pages 427-428
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MHB Properties of Riemann Integrable Functions with Compact Support .... Proof of D&K Theorem 6.2.8 ....
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MHB Help Needed with Determining B' in Proposition 6.1.2: A Case for n=2
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I In Euclidian space, closed ball is equal to closure of open ball
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I Duistermaat & Kolk .... Vol II .... Proof of Proposition 6.1.2
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A Hausdorff property of projective space
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MHB Duistermaat & Kolk .... Vol II .... Proposition 6.1.2
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I A curve that does not meet rational points
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A Understanding Cantor set C in Ternary form with 1/n factor in front C
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DMD is better without Ergodic Theory and Koopman Operators
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I Simpler Brunnian "rubberband" loops?
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I Describing homeomorphisms with the π1 function
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I Writing down an explicit homotopy
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I Proof involving Identity maps
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I "Approximating Basis" -- Is there a contemporary term?
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I Broadly spiralling shape from partial sums of Zeta (0.5 + i t)
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MHB Complex number question
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I Showing that a group acts freely and discretely on real plane
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B Exercise on quotient topology
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I Is this generalization equivalent to usual Aposyndetic
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A Limits and Supremum: Is It True?
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MHB Is the convergence uniformly?
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B Open sets in quotient topology
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I Doing proofs with the variety function and the Zariski topology
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I A problem of completeness of a metric space
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I Proving a function f is continuous given A U B = X
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I Solution to Zeno's Paradox
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I Show R^2 \{(0,0)} and {(x,y) | 1 < sqrt(x^2+y^2) < 3} are homeomorphic
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I An open set can be a closed interval?
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MHB Extrema and convergence of sequence
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MHB Calculate the volume of the set M
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MHB Help Needed: Struggling with a Question
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MHB Help Me: Get the Support You Need
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MHB Limit comparision test
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Topological Data Analysis - Persistent Homology
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MHB Harmonic function problem
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MHB Cauchy-Riemann Equations test problem
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MHB Harmonic function problem
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MHB Proving Measure Space Properties of $(X,\bar{\mathcal{B}} ,\bar{\mu})$
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MHB Complex number function
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Topology and Analysis

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Participate in expert discussion on topology and analysis topics. It's the study of geometric properties and spatial relations unaffected by the continuous change of shape or size of figures.

This includes point-set topology, Real, complex, harmonic and functional analysis. Also the topics of measure and integration theory apply.

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