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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.
Graduate Is the Long Line Locally Euclidean, Hausdorff, and Path Connected?
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MHB Another Question On B&S, Theorem 7.3.5 - Fundamental Theorem Of Calculus ...
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MHB Fundamental Theorem Of Calculus (Second Form) - B&S Theorem 7.3.5 .... ....
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MHB Convergence in topological space
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MHB Riemann Integration - The Additivity Theorem .... B&S Theorem 7.2.9 ....
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MHB Limit Superior .... B&S Therem 3.4.11 .... ....
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Undergrad Proving Convergence: Solving the Limit of 1/(6n^2+1) = 0
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Undergrad How can we characterize mathematical analysis?
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Undergrad How Does the Supremum of -A Relate to Its Elements?
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MHB Remarks on Limit Superrior .... B&S Page 82 .... Example ....
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Graduate Hahn-Banach From Systems of Linear Equations
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High School Complex numbers imaginary part
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Undergrad Proving that square root of 2 exists
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Undergrad Irreducible representation of SU(2)
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Undergrad Noncompact locally compact Hausdorff continuous mapping
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Undergrad Continuity of the determinant function
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Undergrad Can a Topological Space be Both a 1-Manifold and an n-Manifold?
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Undergrad Generalization of measure theory to uncountable unions
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MHB L'Hospital's Rule .... Bartle and Sherbert Theorem 6.2.3 .... ....
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Undergrad Complex Conjugates: Replacing i & Taking Alpha's Conjugate?
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MHB What is the connection between sin and cos in Example 6.3.4?
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MHB Understanding Corollary 6.2.2 of B&S Theorem 6.2.1
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Undergrad Corollary to the Interior Extremum Theorem .... ....
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Undergrad Is e: [0,1] --> S^1 a Quotient Map?
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Undergrad Does L_g pass to the quotient G/H?
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Undergrad What Is a Non-Linear Ordered Set?
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Undergrad Is R_d x R Locally Euclidean of Dimension 1?
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MHB Chain Rule - B&S Theorem 6.1.6 ....
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Undergrad Gluing lemma / infinite corollary
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Undergrad Contort rectangle to torus minus splice=homomorphism?
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Undergrad Why is this line not homeomorphic to the unit circle?
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Undergrad Limits and Continuity - Absolute Value Technicality ....
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MHB Show that there are points Q,R on C such that the triangle PQR is equilateral.
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MHB Lipschitz Condition and Uniform Continuity
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Undergrad Relation of completeness to the l.u.b. property?
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MHB Continuous Functions on Intervals .... B&S Theorem 5.3.2 ....
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Undergrad Square root of a complex number
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MHB Continuous Functions - Thomae's Function ....
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MHB Proving the Sum of a Sequence Equals n Using Induction
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Undergrad Pole in Stereographic Projection
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Graduate Algebraic topology applied to Neuroscience
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MHB Limits of Functions .... L&S Example 10.7 (2) ....
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MHB Limits of Functions .... B&S Theorem 4.2.9 .... ....
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High School Understanding Extremum and Derivatives at Boundary Points
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High School Basic complex number math -- what am I doing wrong?
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High School Graphical Representation of a Complex Sphere
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Undergrad Simplicial complex geometric realization 1-manifold
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MHB Limits and Continuity - Absolute Value Technicality ....
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High School Does Every Set in the Axiom of Choice Include an Empty Set?
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MHB Limits of Sequences .... Bartle and Shebert, Example 3.4.3 (b) ....
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MHB Limits of Sequences .... Stoll Theorem 2.2.6
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MHB Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.10 (1) ....
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MHB Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.12 ....
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MHB Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.10 (b) ....
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MHB Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.10 (c) ....
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Undergrad Limits of Sequences .... Bartle & Shebert, Example 3.4.3 (b)
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Undergrad What does ".... is zero to order ...." mean?
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Undergrad Ascending subset sequence with axiom of choice
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MHB Open Sets - Unions and Intersections -
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MHB Limits of Sequences .... Sohrab Exercise 2.2.7
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MHB How to use DeMoivre's theorem to find the product of complex numbers?
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MHB Closed Sets - Sohrab Exercise 2.2.4 - Part 2
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MHB Open and Closed Sets - Sohrab Exercise 2.4.4 - Part 3
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Undergrad Can a Circular Function with Complex Variable Represent a 3D Graph?
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MHB Hcc8.11 change each to complex form and find product
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MHB Supremum Property (AoC) .... etc .... Yet a further question/Issue ....
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MHB Supremum Property (AoC) .... etc .... Another question/Issue ....
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MHB Supremum Property (AoC), Archimedean Property, Nested Intervals Theorem ....
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Undergrad Hyperreal Convergence: Is It 0 or Infinitesimal?
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Undergrad Supremum Property (AoC) .... etc .... Yet a further question
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Undergrad Can Complex Numbers Be Viewed as Real Numbers on the X and Y Plane?
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Undergrad Why Does the Cut of $\mathbb{Q}$ Correspond to $\sqrt{2}$?
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Undergrad Supremum Property, Archimedean Property, Nested Intervals
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Undergrad Supremum Property (AoC) .... etc .... Another question/Issue
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Undergrad Help with expression ##F(it)-F(-it)## in the Abel-Plana form
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MHB The Completeness Axiom .... and Sohrab Exercise 2.1.29 ....
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MHB Struggling with Exercise 2.1.40 in Sohrab's Basic Real Analysis?
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MHB Density of Q in R .... Sohrab Theorem 2.1.38 ....
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MHB The AM-GM Inequality - Sohrab Proposition 2.1.25 ....
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Undergrad The AM-GM Inequality - Sohrab Proposition 2.1.25 ....
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MHB Proof of Cauchy's Inequality .... Sohrab Proposition 2.1.23 ....
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Undergrad Can a tetrahedron have all dihedral angles rational?
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Undergrad Differentiating a particular integral (retarded potential)
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Undergrad Integers as an Ordered Integral Domain .... Bloch Th. 1.4.6
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High School Knot theory: closed loops in n dimensions
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MHB The Integers as an Ordered Integral Domain .... Bloch Theorem 1.4.6 ....
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MHB Some Properties of the Rational Numbers .... Bloch Exercise 1.5.9 (3)
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MHB Sum of a rational number and an irrational number ....
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MHB The Set of Positive Integers as a Copy of the Natural Numbers ....
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Undergrad Homotopy Definitions: Homeomorphisms, Homotopies & Retracts
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Graduate Parameterizing the 3-Sphere: 3 Angles?
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Undergrad The Weierstrass function's' odd qualities
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Undergrad The Set of Positive Integers - a Copy of the Natural Numbers
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Undergrad The Well-Ordering Principle for the Natural Numbers ....
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MHB The Well-Ordering Principle for the Natural Numbers
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MHB Properties of "less Than" & "Less Than or Equals" - Bloch Theorem 1.2.9 - Peter
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MHB Addition and Multiplication of Natural Numbers - Bloch Th. 1.2.7 .... ....
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Undergrad Properties of 'less than" and "less than or equals"
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Undergrad Addition/Multiplication of Natural Numbers - Bloch Th. 1.2.7
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High School How Does Group Orbit Theory Relate Torus and Cylinder Structures?
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