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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Graduate Open sets in R being the union of open intervals
- wisvuze
- · Replies 2 ·
Graduate How to show induced topological space
- ismaili
- · Replies 3 ·
Graduate Continuity in Half Interval Topology for x^2 Function
- Slats18
- · Replies 10 ·
Graduate Add 2 Dense Sets for Non-Dense Set Result
- cragar
- · Replies 32 ·
Graduate Relations between curvature and topology
- joseph0086
- · Replies 2 ·
Graduate Finding J where logb(J) = -b for all b
- Frogeyedpeas
- · Replies 3 ·
Undergrad Why does (e^{i\alpha})^2 always equal 1?
- Piano man
- · Replies 3 ·
Graduate Can say me why annulus and circle are not homeomorphic?
- seydunas
- · Replies 2 ·
Graduate Paracompactness and metrizable manifolds
- aleazk
- · Replies 2 ·
Undergrad What is a compact space in topology?
- lavster
- · Replies 4 ·
Graduate Do Homeomorphisms , Diffeomorphisms Preserve Intersections?
- Bacle
- · Replies 2 ·
Graduate Is the human body topologically equivalent to a donut with multiple holes?
- DaveC426913
- · Replies 19 ·
Graduate What is a Complete Metric Space in Mathematics?
- Amok
- · Replies 3 ·
Graduate Can Probability and Topology Combine for an Exciting Research Topic?
- Paparazzi
- · Replies 6 ·
Is the close interval A=[0,1] is compact?
- rohan302
- · Replies 3 ·
Graduate I'm trying to find all functions such that Re(f(z)) + Im(f(z)) = 0, or
- Char. Limit
- · Replies 9 ·
Graduate Discretized complex exponential
- cepheid
- · Replies 2 ·
Graduate Proof of Topology: Compact Subsets in Open Sets
- ForMyThunder
- · Replies 2 ·
Undergrad Computing (√3+i)^2010 without De Moivre's theorem
- Chuckster
- · Replies 6 ·
Graduate Solving (-2)^(1/2) and (-2)^(1/sqrt(pi)): A Complex Analysis Approach
- davedave
- · Replies 2 ·
Graduate Is the set of convergent sequences larger than convergent series?
- Char. Limit
- · Replies 7 ·
Undergrad Complex numbers an Pythagoras' theorem.
- JDude13
- · Replies 9 ·
Graduate So, what is the principal value of i^{3i}?
- hbweb500
- · Replies 2 ·
Graduate How to abelianizing the fundamental group?
- kakarotyjn
- · Replies 3 ·
Graduate How Can a Finite Set of Natural Numbers Be an Open Set in Topology?
- 0ddbio
- · Replies 2 ·
Undergrad Solving (a+bi)/(-a+bi)=c+di for a and b
- commander22
- · Replies 2 ·
Graduate Embedding Complex Matrices into Real Spaces
- Kreizhn
- · Replies 5 ·
Graduate R^2 and R^2 - {(0,0)} are not homeomorphic
- poet_3000
- · Replies 7 ·
Undergrad Understanding Complex Numbers: A Visual Explanation
- QuarkCharmer
- · Replies 1 ·
Graduate Can the value of a function at a point of discontinuity vary among authors?
- spaghetti3451
- · Replies 5 ·
Graduate Open set (differential equation)
- stanley.st
- · Replies 1 ·
Graduate Relationship b/w Connectedness and Homeomorphisms
- rekovu
- · Replies 3 ·
Graduate Does the boundedness inequality alone imply a linear operator?
- mathplease
- · Replies 6 ·
Graduate How to represent a fraction infinitely close to 1?
- Alan1000
- · Replies 18 ·
Graduate Topological and Metric Properties
- Bachelier
- · Replies 3 ·
Graduate Cauchy Sequences in General Topological Spaces
- ebola1717
- · Replies 2 ·
Graduate Continuous functions that vanish at infinity
- Fredrik
- · Replies 28 ·
Graduate Finite cartesian product of connected space is connected
- princy
- · Replies 7 ·
Graduate Topology and the Chinese Remainder Theorem?
- ForMyThunder
- · Replies 2 ·
Graduate Prove Metric Theorem: (X,d) x B(x,δ) ⊆ B(x,ϵ)
- thraxrules
- · Replies 2 ·
Graduate Why is every compact space locally compact?
- winmath
- · Replies 3 ·
Graduate .999 = 1, in descrete topology?
- TylerH
- · Replies 4 ·
Graduate Properties of Homeomorphisms between topological spaces
- Goldbeetle
- · Replies 9 ·
Undergrad Raising Complex Numbers to Powers of Angles - What Happens?
- Andrea2
- · Replies 2 ·
Graduate Topology Problem: Closure X Path-Connected?
- mveritas
- · Replies 3 ·
Graduate Does a diffeomorphism between regions imply homeomorphism?
- Pinu7
- · Replies 5 ·
Graduate Differentiating a Linear Functional
- Kreizhn
- · Replies 3 ·
High School Complex numbers - parallel lines meet at infinity ? What does it mean?
- Femme_physics
- · Replies 3 ·
Graduate Polyhedron of a simplicial complex and identification topology
- kakarotyjn
- · Replies 5 ·
Graduate Non 2nd-countable, Hausdorff, differentiable n-manifold?
- RoNN|3
- · Replies 17 ·
Graduate Afraid to Manipulate Complex Numbers
- nonequilibrium
- · Replies 1 ·
Graduate How Does Raising e^(2*pi*i) = 1 to the Power of 1/(2*pi*i) Work?
- nameonascreen
- · Replies 5 ·
Graduate A simple functional derivative
- sprik
- · Replies 1 ·
Graduate Is accumulation point = adherent point in a closed set?
- kadas
- · Replies 2 ·
Graduate Product Topology and Compactness
- Bleys
- · Replies 2 ·
Graduate Which collections of subsets of R are bases for a topology?
- Damascus Road
- · Replies 14 ·
Undergrad Simple but frustrating confusion on definition of bounded function
- HJ Farnsworth
- · Replies 4 ·
Graduate Example of dense non surjective operator
- ak416
- · Replies 1 ·
Graduate What Does It Mean for a Function to Have Compact Support?
- mnb96
- · Replies 2 ·
Graduate Questions about hyperreal numbers/functions
- lolgarithms
- · Replies 12 ·
Graduate Why do squares with center P satisfy the given equations in Putnam A1?
- john562
- · Replies 3 ·
Graduate Define Metric for Set of Reals in n Dimensions
- TylerH
- · Replies 6 ·
Graduate Why use a laurent series in complex analysis?
- ENgez
- · Replies 3 ·
Graduate Proving Bounded Open Sets Union of Disjoint Open Intervals
- Gear300
- · Replies 4 ·
Graduate What Connects the Natural Logarithm of i with Pi?
- zketrouble
- · Replies 20 ·
Graduate Split-complex numbers and dual numbers
- ForMyThunder
- · Replies 1 ·
Undergrad Is the equality \sqrt[n]{ab}= \sqrt[n]{a}\sqrt[n]{b} true for complex numbers?
- gabel
- · Replies 10 ·
Graduate Neither of those is a real number, much less a positive real number.
- Bob Busby
- · Replies 5 ·
Graduate Hilbert Space Orthonormal Sets: Alternative to Rudin
- Hjensen
- · Replies 3 ·
Graduate [Proof] Fourier Coefficients = zero => function zero
- nonequilibrium
- · Replies 5 ·
Undergrad Is 2.999... equal to 3?
- Little ant
- · Replies 20 ·
Graduate Why does i have no properties that distinguish it from -i?
- Yayness
- · Replies 47 ·
Undergrad How to eliminate imaginary parts of complex expression?
- kaizen.moto
- · Replies 3 ·
Graduate Dynamic Programming Related Questions
- sampahmel
- · Replies 3 ·
Graduate Can Achilles Catch the Tortoise Without the Continuum Property?
- Rasalhague
- · Replies 3 ·
Graduate Can you explain me how these equations were obtained?
- whuzzwhuzz
- · Replies 3 ·
Graduate Interiors of sets in topological vector spaces
- AxiomOfChoice
- · Replies 1 ·
Graduate How Do You Prove the Bolzano-Weierstrass Theorem?
- maximus101
- · Replies 3 ·
Graduate Complex numbers representing Real numbers
- DrummingAtom
- · Replies 3 ·
Graduate Are there imaginary numbers other than i?
- filter54321
- · Replies 14 ·
Undergrad Does subtraction of functions have meaning when functions are written symbolically?
- Abu Rehan
- · Replies 3 ·
Undergrad Extension of the Triangle Inequality
- Caspian
- · Replies 2 ·
Graduate Why not represent 3D space with one complex dimension for four dimensions
- closet mathemetician
- · Replies 1 ·
Undergrad What is the Meaning of Re(function)?
- nkk2008
- · Replies 3 ·
Graduate Are Fourier transforms unique?
- pellman
- · Replies 5 ·
Graduate Open set challenging question and mind-blogging conceptWelcome.
- kntsy
- · Replies 17 ·
Undergrad What are complex functions and how can they be graphed?
- madah12
- · Replies 5 ·
Graduate What is the Locus of Roots in a Cubic Equation with Complex Numbers?
- jammed
- · Replies 10 ·
Graduate Dividing both sides by a Dirac delta function - ok?
- pellman
- · Replies 2 ·
Graduate Why are there no positive infinitesimals in the reals?
- Rasalhague
- · Replies 14 ·
Graduate Nested intervals and unique determination in Courant
- osnarf
- · Replies 8 ·
Graduate What is in the distributional sense ?
- inlaid
- · Replies 12 ·
Graduate How can f(x, y) be defined on y=x for a continuous function?
- Alexx1
- · Replies 2 ·
Graduate Cartesian product of R^n and R^m
- JG89
- · Replies 4 ·
Graduate What do you think about Lang Textbooks?
- dreamtheater
- · Replies 1 ·
Graduate Reading Haaser-Sullivan's Real Analysis
- _DJ_british_?
- · Replies 3 ·
Graduate Is the equation z^z + 1 = 0 solvable?
- mechprog
- · Replies 12 ·
Graduate Rotating two different complex numbers
- daniel_i_l
- · Replies 2 ·
Undergrad Graphical representation of complex roots to equations
- RK1992
- · Replies 3 ·
Graduate Reiman sphere mobius transforms and inverse square
- zwoodrow
- · Replies 1 ·