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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Undergrad Is S^2 - {N} Homeomorphic to R^2?
- PsychonautQQ
- · Replies 3 ·
Using Residue Theorem To Prove Value Of Summation
- joypav
- · Replies 4 ·
Undergrad Euler Characteristic of the Projective plane and sphere?
- PsychonautQQ
- · Replies 3 ·
Undergrad What is an atlas for a torus manifold?
- aheight
- · Replies 4 ·
Theorem 1.8: Sets or Domains in the Complex Plane - Palka Ch.2
- Math Amateur
- · Replies 3 ·
Why Does γ(t) = z(1-t) Represent the Same Curve in Reverse?
- Math Amateur
- · Replies 1 ·
Undergrad Homotopy Class vs Fundamental Group.
- FallenApple
- · Replies 6 ·
Graduate Is the Long Line Locally Euclidean, Hausdorff, and Path Connected?
- PsychonautQQ
- · Replies 3 ·
Another Question On B&S, Theorem 7.3.5 - Fundamental Theorem Of Calculus ...
- Math Amateur
- · Replies 2 ·
Fundamental Theorem Of Calculus (Second Form) - B&S Theorem 7.3.5 .... ....
- Math Amateur
- · Replies 2 ·
Convergence in topological space
- Julio1
- · Replies 2 ·
Riemann Integration - The Additivity Theorem .... B&S Theorem 7.2.9 ....
- Math Amateur
- · Replies 1 ·
Limit Superior .... B&S Therem 3.4.11 .... ....
- Math Amateur
- · Replies 5 ·
Undergrad Proving Convergence: Solving the Limit of 1/(6n^2+1) = 0
- Mr Davis 97
- · Replies 8 ·
Undergrad How can we characterize mathematical analysis?
- Mr Davis 97
- · Replies 2 ·
Undergrad How Does the Supremum of -A Relate to Its Elements?
- Mr Davis 97
- · Replies 5 ·
Remarks on Limit Superrior .... B&S Page 82 .... Example ....
- Math Amateur
- · Replies 2 ·
Graduate Hahn-Banach From Systems of Linear Equations
- bolbteppa
- · Replies 9 ·
High School Complex numbers imaginary part
- MikeSv
- · Replies 11 ·
Undergrad Proving that square root of 2 exists
- Mr Davis 97
- · Replies 16 ·
Undergrad Irreducible representation of SU(2)
- davidge
- · Replies 3 ·
Undergrad Noncompact locally compact Hausdorff continuous mapping
- PsychonautQQ
- · Replies 14 ·
Undergrad Continuity of the determinant function
- dextercioby
- · Replies 1 ·
Undergrad Can a Topological Space be Both a 1-Manifold and an n-Manifold?
- PsychonautQQ
- · Replies 17 ·
Undergrad Generalization of measure theory to uncountable unions
- greypilgrim
- · Replies 5 ·
L'Hospital's Rule .... Bartle and Sherbert Theorem 6.2.3 .... ....
- Math Amateur
- · Replies 3 ·
Undergrad Complex Conjugates: Replacing i & Taking Alpha's Conjugate?
- dyn
- · Replies 20 ·
What is the connection between sin and cos in Example 6.3.4?
- Math Amateur
- · Replies 2 ·
Understanding Corollary 6.2.2 of B&S Theorem 6.2.1
- Math Amateur
- · Replies 8 ·
Undergrad Corollary to the Interior Extremum Theorem .... ....
- Math Amateur
- · Replies 3 ·
Undergrad Is e: [0,1] --> S^1 a Quotient Map?
- PsychonautQQ
- · Replies 3 ·
Undergrad Does L_g pass to the quotient G/H?
- PsychonautQQ
- · Replies 4 ·
Undergrad What Is a Non-Linear Ordered Set?
- Silviu
- · Replies 1 ·
Undergrad Is R_d x R Locally Euclidean of Dimension 1?
- PsychonautQQ
- · Replies 1 ·
Chain Rule - B&S Theorem 6.1.6 ....
- Math Amateur
- · Replies 3 ·
Undergrad Gluing lemma / infinite corollary
- PsychonautQQ
- · Replies 6 ·
Undergrad Contort rectangle to torus minus splice=homomorphism?
- aheight
- · Replies 1 ·
Undergrad Why is this line not homeomorphic to the unit circle?
- Mr Davis 97
- · Replies 10 ·
Undergrad Limits and Continuity - Absolute Value Technicality ....
- Math Amateur
- · Replies 2 ·
Show that there are points Q,R on C such that the triangle PQR is equilateral.
- lfdahl
- · Replies 1 ·
Lipschitz Condition and Uniform Continuity
- Math Amateur
- · Replies 1 ·
Undergrad Relation of completeness to the l.u.b. property?
- Mr Davis 97
- · Replies 5 ·
Continuous Functions on Intervals .... B&S Theorem 5.3.2 ....
- Math Amateur
- · Replies 2 ·
Undergrad Square root of a complex number
- Nipon Waiyaworn
- · Replies 5 ·
Continuous Functions - Thomae's Function ....
- Math Amateur
- · Replies 2 ·
Proving the Sum of a Sequence Equals n Using Induction
- joypav
- · Replies 6 ·
Undergrad Pole in Stereographic Projection
- FallenApple
- · Replies 1 ·
Graduate Algebraic topology applied to Neuroscience
- Auto-Didact
- · Replies 2 ·
Limits of Functions .... L&S Example 10.7 (2) ....
- Math Amateur
- · Replies 3 ·
Limits of Functions .... B&S Theorem 4.2.9 .... ....
- Math Amateur
- · Replies 2 ·
High School Understanding Extremum and Derivatives at Boundary Points
- Leo Authersh
- · Replies 4 ·
High School Basic complex number math -- what am I doing wrong?
- Isaac0427
- · Replies 3 ·
High School Graphical Representation of a Complex Sphere
- Leo Authersh
- · Replies 6 ·
Undergrad Simplicial complex geometric realization 1-manifold
- PsychonautQQ
- · Replies 2 ·
Limits and Continuity - Absolute Value Technicality ....
- Math Amateur
- · Replies 3 ·
High School Does Every Set in the Axiom of Choice Include an Empty Set?
- kidsasd987
- · Replies 1 ·
Limits of Sequences .... Bartle and Shebert, Example 3.4.3 (b) ....
- Math Amateur
- · Replies 6 ·
Limits of Sequences .... Stoll Theorem 2.2.6
- Math Amateur
- · Replies 4 ·
Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.10 (1) ....
- Math Amateur
- · Replies 2 ·
Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.12 ....
- Math Amateur
- · Replies 2 ·
Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.10 (b) ....
- Math Amateur
- · Replies 5 ·
Ordering on the Set of Real Numbers .... Sohrab, Exercise 2.1.10 (c) ....
- Math Amateur
- · Replies 3 ·
Undergrad Limits of Sequences .... Bartle & Shebert, Example 3.4.3 (b)
- Math Amateur
- · Replies 3 ·
Undergrad What does ".... is zero to order ...." mean?
- Tomtam
- · Replies 4 ·
Undergrad Ascending subset sequence with axiom of choice
- jostpuur
- · Replies 3 ·
Open Sets - Unions and Intersections -
- Math Amateur
- · Replies 8 ·
Limits of Sequences .... Sohrab Exercise 2.2.7
- Math Amateur
- · Replies 3 ·
How to use DeMoivre's theorem to find the product of complex numbers?
- karush
- · Replies 13 ·
Closed Sets - Sohrab Exercise 2.2.4 - Part 2
- Math Amateur
- · Replies 3 ·
Open and Closed Sets - Sohrab Exercise 2.4.4 - Part 3
- Math Amateur
- · Replies 2 ·
Undergrad Can a Circular Function with Complex Variable Represent a 3D Graph?
- Leo Authersh
- · Replies 7 ·
Hcc8.11 change each to complex form and find product
- karush
- · Replies 3 ·
Supremum Property (AoC) .... etc .... Yet a further question/Issue ....
- Math Amateur
- · Replies 2 ·
Supremum Property (AoC) .... etc .... Another question/Issue ....
- Math Amateur
- · Replies 2 ·
Supremum Property (AoC), Archimedean Property, Nested Intervals Theorem ....
- Math Amateur
- · Replies 2 ·
Undergrad Hyperreal Convergence: Is It 0 or Infinitesimal?
- Someone2841
- · Replies 1 ·
Undergrad Supremum Property (AoC) .... etc .... Yet a further question
- Math Amateur
- · Replies 3 ·
Undergrad Can Complex Numbers Be Viewed as Real Numbers on the X and Y Plane?
- Leo Authersh
- · Replies 5 ·
Undergrad Why Does the Cut of $\mathbb{Q}$ Correspond to $\sqrt{2}$?
- Mr Davis 97
- · Replies 3 ·
Undergrad Supremum Property, Archimedean Property, Nested Intervals
- Math Amateur
- · Replies 4 ·
Undergrad Supremum Property (AoC) .... etc .... Another question/Issue
- Math Amateur
- · Replies 2 ·
Undergrad Help with expression ##F(it)-F(-it)## in the Abel-Plana form
- JasonPhysicist
- · Replies 1 ·
The Completeness Axiom .... and Sohrab Exercise 2.1.29 ....
- Math Amateur
- · Replies 6 ·
Struggling with Exercise 2.1.40 in Sohrab's Basic Real Analysis?
- Math Amateur
- · Replies 4 ·
Density of Q in R .... Sohrab Theorem 2.1.38 ....
- Math Amateur
- · Replies 2 ·
The AM-GM Inequality - Sohrab Proposition 2.1.25 ....
- Math Amateur
- · Replies 3 ·
Undergrad The AM-GM Inequality - Sohrab Proposition 2.1.25 ....
- Math Amateur
- · Replies 2 ·
Proof of Cauchy's Inequality .... Sohrab Proposition 2.1.23 ....
- Math Amateur
- · Replies 2 ·
Undergrad Can a tetrahedron have all dihedral angles rational?
- Zafa Pi
- · Replies 4 ·
Undergrad Differentiating a particular integral (retarded potential)
- DavideGenoa
- · Replies 2 ·
Undergrad Integers as an Ordered Integral Domain .... Bloch Th. 1.4.6
- Math Amateur
- · Replies 7 ·
High School Knot theory: closed loops in n dimensions
- DaveC426913
- · Replies 3 ·
The Integers as an Ordered Integral Domain .... Bloch Theorem 1.4.6 ....
- Math Amateur
- · Replies 4 ·
Some Properties of the Rational Numbers .... Bloch Exercise 1.5.9 (3)
- Math Amateur
- · Replies 2 ·
Sum of a rational number and an irrational number ....
- Math Amateur
- · Replies 3 ·
The Set of Positive Integers as a Copy of the Natural Numbers ....
- Math Amateur
- · Replies 3 ·
Undergrad Homotopy Definitions: Homeomorphisms, Homotopies & Retracts
- Silviu
- · Replies 13 ·
Graduate Parameterizing the 3-Sphere: 3 Angles?
- pcr
- · Replies 15 ·
Undergrad The Weierstrass function's' odd qualities
- rumborak
- · Replies 4 ·
Undergrad The Set of Positive Integers - a Copy of the Natural Numbers
- Math Amateur
- · Replies 8 ·