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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Why is $w_p(x+y) \geq m$ and not $w_p(x+y) = m$ for $x,y \in \mathbb{Q}_p$?
- evinda
- · Replies 5 ·
Question about minimum function and limit definition (proper)
- Amad27
- · Replies 5 ·
Undergrad Prove Complex Numbers Triangle Inequality: lz-wl>=llzl-lwll
- Unusualskill
- · Replies 1 ·
Graduate How to derive the branch cuts for complex arcsin(z)
- monmon_4
- · Replies 1 ·
Graduate Staying Awake & Interested in Math Analysis Class
- crownedbishop
- · Replies 1 ·
Graduate Rademacher's Theorem: Introduction to Lipschitz Continuity
- jamilmalik
- · Replies 1 ·
How Does the Axiom of Archimedes Prove Integer Density in Real Numbers?
- Julio1
- · Replies 3 ·
Graduate Homology Functor, Prod. Spaces, Chain Groups: Refs Needed
- WWGD
- · Replies 3 ·
Graduate Measurability and integration of set-valued maps
- moh salem
- · Replies 6 ·
Plotting Complex Functions: Does it Look Like a Riemann Surface?
- Dustinsfl
- · Replies 1 ·
Graduate Does e^z - z^2 = 0 Have Infinite Solutions?
- Likemath2014
- · Replies 3 ·
Graduate Understanding the Formula for q in Rudin's Proof Question
- Diffy
- · Replies 1 ·
Graduate Complex Integral Trigonometric Substitution
- KleZMeR
- · Replies 3 ·
Graduate How Can Set-Valued Maps Be Integrated in Measurable Spaces?
- moh salem
- · Replies 2 ·
Is the Function f(z) = z^(1/3) Analytic?
- Dustinsfl
- · Replies 11 ·
Defining Branch Cuts for f(z) = z^(1/3)
- Dustinsfl
- · Replies 9 ·
How Does Rigor Balance with Intuition in the Summation of Exponential Series?
- poissonspot
- · Replies 1 ·
Could you explain me the definition?
- evinda
- · Replies 1 ·
Graduate Spectrum of ##(x_1,x_2,x_3, )\mapsto(0,x_1,2^{-1}x_2, )##
- DavideGenoa
- · Replies 11 ·
Graduate Proof that [0,1] is compact (not using Heine Borel). Proof check
- fleazo
- · Replies 2 ·
Graduate Are there any metric spaces with no Cauchy sequences?
- dumb_curiosity
- · Replies 1 ·
Proof of Outer Lebesgue Measure Monotonicity and Subadditivity
- mathmari
- · Replies 2 ·
Graduate Can a Sphere Be Creased in UIUC's Optiverse Exploration?
- HeavyMetal
- · Replies 2 ·
Graduate Complex Analysis: Cauchy Riemann Equations 2
- Darth Frodo
- · Replies 2 ·
Graduate Complex form of Fourier series
- etf
- · Replies 1 ·
What is the maximum value of f(z) for any complex number z?
- juantheron
- · Replies 2 ·
Graduate Consequences of a Codimension One and One-Dimensional Foliations on Topology
- center o bass
- · Replies 4 ·
Graduate Can a discontinuous function have a uniformly convergent Fourier series?
- etf
- · Replies 5 ·
Graduate Interpretation of induction in terms of symmetry transformations
- Boorglar
- · Replies 4 ·
Graduate Can All Banach Spaces Be Structured as Unitary Banach Algebras?
- DavideGenoa
- · Replies 14 ·
Graduate Euclidean metric and non-Cartesian systems
- rkaminski
- · Replies 2 ·
Graduate Why couldn't monotonicity be used again in examples 2 and 4 of real analysis?
- nateHI
- · Replies 2 ·
Newbie here with question on Complex components
- THAGONZ
- · Replies 4 ·
Graduate Integral on Circle: Showing $\frac{1}{1-|z|^2}$
- Likemath2014
- · Replies 2 ·
Graduate On derivatives of higher order
- jwqwerty
- · Replies 5 ·
Graduate How to think about complex integration
- bobby2k
- · Replies 1 ·
Graduate How Does the Mobius Strip Relate to Four-Dimensional Space?
- volcanolam
- · Replies 7 ·
Graduate 2D-Spheres with Complex Structure
- WWGD
- · Replies 4 ·
Finding the Conjugate Function of u for f to be Analytic
- Dustinsfl
- · Replies 2 ·
Deduce analyticity of each function
- Dustinsfl
- · Replies 1 ·
Undergrad Understanding the Comparison of Complex and Real Numbers
- Septimra
- · Replies 10 ·
Graduate Why is the derivative of |x| not equal to sgn(x) + 2xδ(x)?
- IniquiTrance
- · Replies 3 ·
Graduate Banach Sub-Algebra of C*-Algebra: Proving Completeness
- Fredrik
- · Replies 5 ·
Is the Set of Differentiable Points of a Function a Borel Set?
- Fermat1
- · Replies 3 ·
Undergrad Is There a Root for cos(x) = x in the Interval (0,1)?
- happysmiles36
- · Replies 3 ·
Cardinality of an interval as a limit
- Fermat1
- · Replies 3 ·
Graduate Homemorphism of two metric space
- xiavatar
- · Replies 1 ·
Graduate Help finding the equation of a line to a moving point
- AtlasSniperma
- · Replies 2 ·
Branch Points & Cuts: Definitions & Examples
- Dustinsfl
- · Replies 1 ·
Graduate Compact operator in reflexive space compact
- DavideGenoa
- · Replies 2 ·
Graduate Pointwise convergence of Riemann integrable functions
- bobby2k
- · Replies 7 ·
Solving Problem w/ Norm Space Proof: Advice & Resources
- SamJohannes
- · Replies 6 ·
Graduate Is There a Connection Between Inequality and the Unit Disc?
- Likemath2014
- · Replies 20 ·
High School Is tan(x) continuous when x = pi/2?
- johann1301
- · Replies 16 ·
Proving an Inequality Involving Real Numbers
- Julio1
- · Replies 3 ·
Graduate Existence of surjective linear operator
- DavideGenoa
- · Replies 4 ·
Graduate Remind me how to do this complex integral
- catsarebad
- · Replies 8 ·
Graduate Analyzing Analytic Functions: Solving a Complex Analysis Conundrum
- Jorriss
- · Replies 5 ·
Graduate Why Does (e^(1+i*2*pi))^(1+i*2*pi) Not Equal e^((1+i*2*pi)(1+i*2*pi))?
- eltodesukane
- · Replies 3 ·
Graduate Banach's inverse operator theorem
- DavideGenoa
- · Replies 10 ·
Graduate Rotations in the complex plane
- DiracPool
- · Replies 2 ·
Graduate On limit of function and proof of chain rule
- jwqwerty
- · Replies 3 ·
Can Absolute Value Solve the Problem of Convergence for Inverse Functions?
- Julio1
- · Replies 5 ·
Graduate On differentiability on endpoints of an open interval
- jwqwerty
- · Replies 8 ·
Graduate Are there complex functions with finite, nonzero branch points?
- fuserofworlds
- · Replies 4 ·
Graduate Visualizing the Poincare Disc: Understanding its Limits
- shounakbhatta
- · Replies 4 ·
Graduate A separation theorem in locally convex spaces
- DavideGenoa
- · Replies 11 ·
Graduate Continuous functional s.t. $f(x_0)\ne 0$
- DavideGenoa
- · Replies 4 ·
Undergrad Why study different kinds of functions in Real and Complex Analysis?
- Sigma057
- · Replies 5 ·
What Does the Integral Expression $\int_{\gamma} \rho(z) |dz|$ Represent?
- poissonspot
- · Replies 1 ·
Graduate Proof of Baby Rudin: Unique Real y for x & n
- Mogarrr
- · Replies 4 ·
Yes, your solution is correct. Good job!
- aruwin
- · Replies 2 ·
Graduate What is Dimension Theory and Its Infinite Dimensions?
- Master Sashin
- · Replies 23 ·
Undergrad Determine function from the graph
- Goodver
- · Replies 1 ·
Undergrad Is this an infinite number of discontinuities?
- Hertz
- · Replies 11 ·
Graduate Beginning Group Theory, wondering if subset of nat numbers are groups?
- mathacka
- · Replies 2 ·
Is A_epsilon Non-Empty and Measurable in Lebesgue's Theory?
- fsblajinha
- · Replies 3 ·
Graduate Can You Solve f(x) + g(x,y) = 0 Where g Is Tangent to f?
- ekkilop
- · Replies 2 ·
Graduate Problem in the paper of van Zwet
- victoriaabc
- · Replies 2 ·
Undergrad How does a collection of points have dimensions?
- elementbrdr
- · Replies 7 ·
Graduate Regions; "Each point of the set is the center of a circle "
- Nathanael
- · Replies 5 ·
Why are the cubic roots of 1 expressed as cis 120 degrees?
- Yankel
- · Replies 4 ·
Help with finding the sup and inf
- Saitama
- · Replies 2 ·
Convolution of two discrete sequence
- nacho-man
- · Replies 1 ·
Undergrad Understanding Complex Number Fundamentals
- DiracPool
- · Replies 17 ·
Graduate Can a Matrix-Valued Function h Exist with Given Properties in GL^+(n,R)?
- WWGD
- · Replies 4 ·
Graduate So-called Fundamental Theorem of Algebra
- thelema418
- · Replies 1 ·
Graduate Are the Results of Adding and Subtracting ζ(0) and Grandi's Series Valid?
- Kekasi
- · Replies 1 ·
Graduate Schwartz - Christoffel transformation: point at infinity confusion
- D_Tr
- · Replies 2 ·
Graduate Is there a table of Abel transforms for Gaussian distributions available?
- Mr Boom
- · Replies 1 ·
Graduate Orthogonality and physical applications
- 16universes
- · Replies 17 ·
Graduate Proof of rational density using Dedekind cuts
- loops496
- · Replies 5 ·
Graduate Exponentiation with zero base, complex exponent?
- bcrowell
- · Replies 9 ·
Graduate Computing Čech cohomology groups
- Geometry_dude
- · Replies 2 ·
Graduate Are complex numbers just means to an end?
- jaydnul
- · Replies 21 ·
Graduate Understanding Big O Notation: Limit Definition and Reconciling Statements
- ericm1234
- · Replies 7 ·
Graduate Separating hyperplane theorem for non-disjoint sets
- economicsnerd
- · Replies 2 ·
Undergrad Metrics on the plane and the sphere
- gianeshwar
- · Replies 6 ·
Undergrad What are some open problems that would make a good honors thesis.
- Silvers931
- · Replies 5 ·
Is This the Correct Laurent Series Expansion for $\frac{1}{z^3-z^4}$?
- aruwin
- · Replies 1 ·