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 Translation Invariance of Outer Measure .... Axler, Result 2.7 ....
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Undergrad Lebesgue Outer Measure .... Carothers, Proposition 16.2 (i) ....
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MHB Outer measure of an open interval ....
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Undergrad Lebesgue Outer Measure .... Carothers, Proposition 16.1 ....
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MHB Lebesgue Outer Measure .... Carothers, Proposition 16.1 ....
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MHB Outer measure of a closed interval .... Axler, Result 2.14 ....
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MHB Outer measure .... Axler, Result 2.14 .... Another Question ....
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Undergrad Outer measure of a closed interval .... Axler, Result 2.14 ....
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Graduate Can the Unit Interval be Measurably Split into Two Sets of Equal Length?
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MHB Outer Measure .... Axler, Result 2.5 ....
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Graduate How Can I Identify a Surface as a Cone in CAD Software?
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Undergrad Alternative proof to a trivial problem
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MHB Connectedness and Intervals in R .... Stromberg, Theorem 3.47 .... ....
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MHB Understanding Theorem 3.43: Comparing U_B & V_k in Stromberg's Book
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MHB TFAE proof involving limit and convergent sequence
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Undergrad Proving a Fixed Point Theorem for Shrinking Maps on Compact Spaces
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MHB Weierstrass Function: Continuous and Bounded on $\mathbb{R}$
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Undergrad How do I create a sewing pattern for a spherical lune in 2D from an n-hosohedra?
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Graduate Definitions of Cylinder Sets and Cylinder Set Measure
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Undergrad Lebesgue Integration of Simple Functions .... Lindstrom, Lemma 7.4.6 ...
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MHB Lebesgue Integration of Simple Functions .... Lindstrom, Lemma 7.4.6 .... ....
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Undergrad How do I separate the real and imaginary parts of an infinite product?
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Undergrad Where is a list of Lehmer Pairs of zeros of zeta(s) ?
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Undergrad Measurable Functions .... Lindstrom, Proposition 7.3.7 .... ....
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MHB Measurable Functions .... Lindstrom, Proposition 7.3.7 .... ....
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Undergrad What's the name of a 2-torus looped in the 4th dimension?
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Undergrad Do there exist surfaces whose boundary is a closed knot?
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MHB Prove Monotony of Function: $f$ Strictly Decreasing
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Graduate I need guidance please: what topic/math to study next
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Undergrad Hölder and log-Hölder continuity
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Undergrad Self teaching analysis and topology
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Undergrad Citation for a knot theory statement
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MHB Isometries .... Garling, Example 11.5.2 .... ....
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MHB Orthogonal Projections .... Garling, Proposition 11.4.3 .... ....
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Undergrad Closure & Interior as Dual Notions .... Proving Willard Theorem 3.11 ...
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MHB The Annihilator of a Set ....Remarks by Garling After Proposition 11.3.5 ....
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MHB Is This Proof of the Annihilator of a Set Correct?
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Conformal Transformation as a diffeomorphism
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MHB Normed and Inner Product Spaces .... Garling, Corollary 11.3.2 ....
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Graduate Proving that the real projective plane is not a boundary
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MHB Is the Minimum of a Strictly Convex Function Unique at Its Critical Point?
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Undergrad Interior and Closure in a Topological Space .... .... remark by Willard
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Insights The Analytic Continuation of the Lerch and the Zeta Functions
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Undergrad Is f(x) an Injective Function? Understanding Proof and Notation
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MHB Show Existence of $a,b$: Proof for $f'(\xi) \neq 0$
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Undergrad Closure in a Topological Space .... Willard, Theorem 3.7 .... ....
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Undergrad Fractional Integral of which function is equal to Riemann's Zeta-Function?
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Undergrad Open and Closed Sets .... Conway, Example 5.3.4 (b) .... ....
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Undergrad The Indiscrete Topology is Pseudometrizable ... Willard, Example 3.2(d)
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MHB Open Sets in a Discrete Metric Space .... ....
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MHB Open Sets in R .... .... Willard, Example 2.7 (a) .... ....
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Undergrad Local Basis in Topology .... Definitions by Croom and Singh .... ....
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Undergrad Explanation that sin(x+iy) is one-to-one
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Undergrad Finding a non-convergent Cauchy sequence
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MHB Proving Properties of Differentiable Functions: Limits & Convexity
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Undergrad The Order Topology .... .... Singh, Example 1.4.4 .... ....
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Undergrad Coordinate Systems After Deformation of Axes
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MHB Show that the two functions are identical
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Undergrad Subbasis for a Topology .... Singh, Section 1.4 ....
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MHB Hello i would like some help with laplace transforms.
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MHB Need help with evaluating H(t-8t)2cosh(t-8)
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Undergrad Convergence .... Singh, Example 4.1.1 .... .... Another Question ....
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Undergrad Convergence in Topological Spaces .... Singh, Example 4.1.1 .... ....
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Graduate Closure of constant function 1 on the complex set
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Undergrad Convergence of a sequence of sets
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Undergrad Limit Points & Closure in a Topological Space .... Singh, Theorem 1.3.7
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Graduate Orthogonal complement of the orthogonal complement
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Undergrad Closed Subsets in a Toplogical space ....
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Undergrad Definitions of Continuity in Topological Spaces ....
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Undergrad Functional equations as global formulas
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Graduate Proof of Seifert-Van Kampen Theorem
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MHB Intermediate Value Theorem ....Silva, Theorem 4.2.1 .... ....
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Graduate Questions about representation theory of Lie algebra
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Undergrad Example of a Lie group that cannot be represented in matrix form?
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Undergrad Intermediate Value Theorem .... Browder, Theorem 3.16 .... ....
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MHB Intermediate Value Theorem .... Browder, Theorem 3.16 .... ....
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Undergrad Continuity of f^+ .... Browder Corollary 3.13
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Undergrad Why Isn't the Intersection of Two Lines a 1D Manifold?
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MHB Continuity of f^+ .... Browder Corollary 3.13
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MHB Relatively Open Sets .... Stoll, Theorem 3.1.16 (a) ....
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Undergrad Composition of Two Continuous Functions .... Browder, Proposition 3.12
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Undergrad Video lectures on lattices in mathematics
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MHB Increasing Function on an Interval .... Browder, Proposition 3.7 .... ....
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Undergrad Which class of functions does 1/x belong to?
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Graduate Conditions to extend functions Continuously into the Boundary (D^1/S^1)
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MHB Continuity of a Function .... Conway, Definition 1.7.1 .... ....
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Undergrad Limits of Functions ....Conway, Proposition 2.1.2 .... ....
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Undergrad The Riemann and Darboux Integrals .... Browder, Theorem 5.10 .... ....
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MHB The Riemann Integral .... Conway, Proposition 3.1.4 ....
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MHB An Example on Differentials .... Browder Proposition 8.12 ....
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MHB Differentials/Total Derivatives in R^n .... Browder, Proposition 8.12 ....
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Undergrad Question about weights using Chebyshev polynomials as quadrature
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Undergrad Application of the Stone Weierstrass Theorem
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MHB Partial fraction decomposition
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MHB Help Understanding Andrew Browder's Proof of Proposition 8.14 from Math Analysis
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MHB Differentials in R^n .... Another Remark by Browder, Section 8.2 .... ....
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Undergrad The signal is binned into time bins with a width ##δt##
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MHB Understand Andrew Browder's Prop 8.13: Math Analysis Introduction
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MHB Help Understanding Andrew Browder's Proposition 8.14
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High School Size Manifold Globally: Euclidean 3D Space
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