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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 Proof of Cauchy Sequence for $\{a_n\}$ Defined by $f(x)$
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MHB Proofs of Supremum Problem in $\mathbb{R}$
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MHB Another supremum and infimum problem
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MHB How Does Scaling a Set Affect Its Supremum and Infimum?
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MHB Proof of $A\subseteq B\implies\sup A\le\sup B$
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MHB How Does Complex Analysis Explain Geometry and Entire Functions?
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Graduate One-point compactification of space of matrices with positive trace
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MHB When does a complex function have a simple zero on a given interval?
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MHB How Does Complex Function Behavior Constrain Within and Outside the Unit Disk?
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MHB Understanding Complex Functions and Polynomials in the Complex Plane
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MHB Solving $\sin(z) = 2 + 3i$ using complex numbers
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MHB Analytic on D: Power Series and Polynomial Coefficients
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MHB Find principal value in a+ib form.
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MHB Prove $\inf \{\overline{m}-x: x\in S\}=0$
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MHB Can Analytic Functions Exhibit These Complex Behaviors?
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Graduate What does the frequency representation of a function show?
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MHB How Do Complex Numbers Relate to the Unit Disk and Their Properties?
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Graduate Is the Pre-Image Always Open in Topological Spaces?
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MHB Bounded Function on Set S: Proving $|f(z)|\le1$ for All $z\in S$
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MHB Can Analytic Functions in the Unit Disk Meet Specific Modulus Conditions?
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MHB How Can I Create a Mobius Transformation?
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MHB Proving Local Maximum for Analytic Functions on Open and Connected Sets
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MHB Proving Nested Intervals Converge to $\alpha$
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Graduate Co-finite topology on an infinite set
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MHB Uniform Convergence of $Y(x)$ in $(0,1]$
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MHB Expanding f(z) with Powers of z-1
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Graduate Equivalent definition of the supremum
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MHB How to prove $a_n\to 0$ using the sequence location theorem?
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MHB Can Complex Equations Be Solved More Efficiently?
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MHB How do I expand $f(z)$ into a power series?
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MHB Complex Integral: Solving a Difficult Problem
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MHB Does Convergence of a Sequence Imply Convergence of Its Absolute Values?
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MHB What Values of z Make This Series Converge?
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MHB Holomorphic function and an open disc
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Graduate Notation for set of limit points?
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MHB Does an Increasing Sequence Bounded by a Convergent Sequence Converge?
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Graduate What does it mean for a space to be naturally identified with another?
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Graduate Is a convex subset of a connected space connected?
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MHB Prove that there is a strictly decreasing sequence
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MHB Solving Fourrier Transform Problems: Schwartz Space & exp(-ax^2)
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MHB T - Improving Upper Bound for $a_n$ in Series for $n$
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Graduate What Does the Product of Spheres Look Like?
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MHB Prove that the sequence converges to 0 (2)
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MHB Prove that the sequence converges to 0
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Graduate A metric space of equivalent sequence classes
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High School Complex Conjugate: just replace i by -i even in denominator or inside argument?
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Graduate Completeness of ℝ (when ℝ is defined abstractly)
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Graduate Metric function composed with concave function
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Graduate Is the Empty Set Axiom Redundant in Ultrafilters?
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Graduate How the value of ln(-1) is derived
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Graduate Looking for a metric to express difference between two curves
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Undergrad Anyone here ever got bugged with i?
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Graduate Example in topology: quotient maps and arcwise connected
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Graduate Graphing a function in a Normed linear space
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Graduate Counterexample intersections of 2 compacts is compact ?
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Graduate Weak convergence of orthonormal sequences in Hilbert space
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Graduate Why category in Baire's Category Theorem?
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Undergrad Splitting an exponential complex number into real and imaginary parts
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Graduate Sketching exponential curves with complex numbers
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Graduate What are the biggest questions in topology and abstract algebra?
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Graduate Every uncountable subset of R has a limit point in Q?
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Graduate [topology] new kind of separation axiom? where does it fit in?
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Graduate Help me, nearest neighbor problem.
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Undergrad Taking a number to a complex number power
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Undergrad What Does It Mean for a Function to Be Single Valued?
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Graduate A question about subspace topolgy
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Graduate Interior Product: Find from Exterior Product
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Graduate A Question about Topological Connectivity
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Graduate Are Convergence Sequences Unique in a Normed Linear Space?
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Graduate Verify: Topology of Point-Set Question Needs to be First Countable
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Graduate A problem about equivalent metric
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Graduate Boundary points of subsets when viewed with the subset topology
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Graduate Connecting homomorphism question
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Graduate Help with continuous functions in metric spaces
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Undergrad Why does the graph of y = ln(x) have an imaginary part?
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Graduate Is there an interesting way to define a continuous composition of functions?
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Graduate Distance between sets (a triangle-type inequality)
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Graduate Compactness is topology-independent ?
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Graduate Group of translations on real line with discrete topology
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Graduate S^2 union a line connecting the north and south pole
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Graduate How Can I Better Understand Metric Space Problems?
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Undergrad What Determines the Angle of a Complex Number in Polar Form?
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Graduate Is {X, max(d,r)} or (X, min(d,r)) a Metric Space?
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Graduate Applied Functional Analysis by Zeidler
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Undergrad Is the complex plane meaningful?
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Graduate What Should an Engineer Know Before Studying Topology?
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Undergrad Help proving complex inequality
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Graduate How to prove that SU(3) is compact
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Graduate Compactness of (0,1) when that is the whole metric space
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Graduate Defining an Empty Set Metric Space: Understanding Properties of d
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Graduate Does Convergence of (sn) and (sntn) Imply (tn) Converges?
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Undergrad Using Intermediate Value Theorem to prove # of polynomial roots
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Graduate What are the conditions for non-integer exponents to be single valued?
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Graduate Looking for reading suggestions
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Undergrad What behind the idea of representing real numbers as points ?
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Graduate ALgebraic Topology Query (Hatcher) - Not Homework
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Graduate Why is (0,1) not compact in topology?
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Undergrad Limits of Complex exponentials
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Graduate Is a general sequence possible for the given data?
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Graduate Is the cantor set diffeomorphic to the fat cantor set?
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