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.
MHB Does this count as a proof for the infimum?
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MHB Find GLB of A: $(-1)^n\left(\frac{1}{4}-\frac{2}{n}\right)$
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A Can Discrete Parameters Be Used in Limit Calculations?
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B Is hοh Monotonic If h Is Continuous?
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MHB Is the Product of Real Numbers Always Larger When Exponentiated?
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MHB Prove Lagrange Property w/ Algebra - A Hint for You!
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MHB Using the axioms of ordered field
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MHB Proving Subsets of Intervals in $\mathbb{R}$
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I Why Does Weak-* Topology Use Finite Neighborhoods?
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A The fundamental group of preimage of covering map
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Commutations and delta in deriving Ampère's law
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Commutation integral/derivative in deriving Ampère's law
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MHB What Does the Branch of the Cube Root Function Mean?
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Question about proof from Bishop & Goldberg
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Charts on Topological Manifolds - Simple Notational Issue
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MHB How Do You Calculate the Contribution of Each Element to Total Variance?
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Convex Vector Spaces: Does Sum Exist in Normed Vectorial Space?
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Clarification: proof that perfect subsets of R^k uncountable
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Understanding the Purpose of Charts in Differential Geometry
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MHB Find Max Function g: $\sqrt{10^{2016}}$
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Is Isometry the Same as Isomorphism?
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MHB Proving Series Convergence: Comparing $\sum y_n$ with $\sum \frac{y_n}{1+y_n}$
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MHB Prove $(y_n)$ Converges to a Real Number Given $|y_{n+1}-y_n| \leq 2^{-n}$
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MHB How can we show the existance of a ε?
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Can Penrose Stairs Be Realized on a Torus?
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Gravity on a 1-D Torus: Understanding the Conceptual Simplification
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MHB Help for test - functional analysis
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MHB What is a Semigroup and How Does it Relate to Immeasurable Sets?
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How to Glue the Hyperbolic Plane to Form Klein's Quartic?
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Need some kind of convergence theorem for integrals taken over sequences of sets
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Is "Kirby's Problem List" fairly familiar to Knot Theorists?
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Finding the Origin of an Integral Identity | Numerical PDEs Homework
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What is the meaning of ph(z) in complex numbers?
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Does anybody know an introduction to Lie Algebra Bundles
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MHB Please check this complex integral
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MHB Please check this complex integral (#2)
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What is the relationship between Pi and curvature on different surfaces?
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MHB An expression resembling Laguerre
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Graph isomorphism problem-advance in complexity research
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MHB Is the Set K Convex and Does It Attain Its Euclidean Distance?
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MHB Properties of Metric $\sigma(x,y)$
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MHB The distance is attained by a unique point
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An automorphism in a Banach space
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Lipschitz perturbations and Hammerstein integral equations
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MHB Is the radius of convergence 1 or 1/2?
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MHB Why does the equality hold for a symmetric matrix $A$ with $A = A^{T}$?
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Knot Theory & Topology w/ Munkres & "The Knot Book" by Adams
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MHB Rieman inversion formula in Laplace transform
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Do Cauchy sequences always converge?
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The union of any collection of closed sets is closed?
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MHB Proving the Limit of x^n as x Approaches a Using Epsilon-Delta Definition
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MHB How does ${X}_{w}\subset {X^*}_{w}$ occur in modular metric space?
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References for Self Study in de Rham Cohomology
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MHB How Do Different Metrics Affect Convergence and Divergence of Sequences?
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Why is a branched line in R2 not a topological manifold?
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Complex Analysis: Conformal Mappings
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I Why do those two terms add here?
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Are Green's functions generally symmetric?
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Hypergeometic function. Questions.
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MHB Good book recommendation on number systems.
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Prove A~B=>f(A)~f(B) for a continuous f:X->Y
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MHB Limit of Absolute Values and Metric Spaces
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MHB Is Every Sequence with a Cauchy Subsequence Also Cauchy?
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Is There a Flaw in the Symmetry Proof for Homology Classes?
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MHB Understanding L^p Spaces: Origins and Applications
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Why is ##\frac{1}{\sqrt{z}}## a branch point and ##\frac{1}{z}## a pole?
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Sequence is norm convergent implies it's strongly convergent
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MHB Showing Completeness of Metric Spaces: Examples
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Understanding the Closed Set of Natural Numbers
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Proving the Fundamental Group of SO(2) is Z: How Can it Be Done Explicitly?
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MHB Software for calculating eigenvalues and eigenfunctions of an integral operator
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Fourier transform of function which has only radial dependence
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MHB Do Commuting Linear Integral Operators Share Eigenfunctions and Eigenvalues?
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Resources For Real Analysis and Concepts of Mathmatics
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MHB To prove that Cauchy sequence
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MHB Limits of x* when n and m Approach Infinity
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MHB How Can I Calculate the Norm of the Operator \(I-L^{-1}K\)?
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MHB Triangle Inequality and Convergence of ${y}_{n}$
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What is the relation between unitary group, homotopy?
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MHB Can We Say "${y}_{n}=T{y}_{n-1}" in a Complete Metric Space?
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MHB Understanding Picard Iteration: What Does ${f}^{n}x \subseteq {f}^{n+1}x$ Mean?
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Complete set of multi-variable functions
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Proving Isomorphism of Linear Operator with ||A|| < 1
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What Is Conformal Mapping in Complex Analysis?
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MHB Find Continuous Functions Subject to an Integral Condition
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Unbounded operator and expansion of commutator
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MHB Greens Function for Hemmholtz using Fourier
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MHB How do we find A0 in Fourier series for f(x)=x?
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MHB Greens function has me blue ....
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Quantity of Vertices, Edges, Etc In Higher Dimensional Cubes
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How to make a 2-sphere in 4 dimensions
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How can we parameterize the cycloid traced by a rolling circle?
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MHB Find a parametrization of the following level curves
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MHB Cartesian Equation for Parametrized Curve: Find Solution
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MHB How to Calculate Distances from Foci to Tangent Line on an Ellipse?
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Notation question for probability measures on product spaces
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MHB Understanding Open/Closed Sets in $\mathbb{R}^n$
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MHB How Does a Quasi-Nonexpansive Operator Function in Metric Spaces?
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MHB No Max for Functions: Examples & Explanations
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MHB Kannan mapping and quasi-nonexpansive mapping
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