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 Math & David Hume: Tangents & Circles
- thinkandmull
- · Replies 3 ·
Complex numbers and conjugates
- Sean1
- · Replies 2 ·
Understanding Open/Closed Sets in $\mathbb{R}^n$
- evinda
- · Replies 13 ·
How Does a Quasi-Nonexpansive Operator Function in Metric Spaces?
- ozkan12
- · Replies 1 ·
No Max for Functions: Examples & Explanations
- evinda
- · Replies 23 ·
Kannan mapping and quasi-nonexpansive mapping
- ozkan12
- · Replies 7 ·
Undergrad Finding solution of equation in complex domain?
- cdummie
- · Replies 4 ·
Contractive Mappings: Unique Fixed Point & Notation Questions
- ozkan12
- · Replies 1 ·
How Do Laurent Series Differ from Taylor Series in Complex Analysis?
- ognik
- · Replies 1 ·
Is $\ell^\infty$ a Compact Metric Space?
- ozkan12
- · Replies 1 ·
Graduate Does T have a unique fixed point in X?
- Samuel Williams
- · Replies 4 ·
Best wishes :)Question: How do we use supremum in the proof of Cauchy sequence?
- ozkan12
- · Replies 8 ·
Proving $T:X\to X$ is not a Contraction on $X=[1, \infty)$
- ozkan12
- · Replies 7 ·
Graduate Complex Mapping - Is transforming boundaries enough?
- davidbenari
- · Replies 5 ·
What is the limit of a circumference as the power approaches infinity?
- Julio1
- · Replies 2 ·
Graduate ##\int \frac{dz}{z} ## along a line on the complex plane
- davidbenari
- · Replies 10 ·
Graduate A path which its domain is a general compact set.
- MathematicalPhysicist
- · Replies 6 ·
Cauchy sequence in fixed point theory
- ozkan12
- · Replies 22 ·
Non Increasing and Decreasing Sequence
- ozkan12
- · Replies 9 ·
Is Non-Increasing the Same as Decreasing?
- ozkan12
- · Replies 9 ·
Increasing, non-increasing, decreasing and non-decreasing functions
- ozkan12
- · Replies 6 ·
Undergrad What does the term "pointwise" refer to?
- Mr Davis 97
- · Replies 5 ·
Graduate Learning Topology: Problem Solving & Book Recommendations
- Avatrin
- · Replies 12 ·
Undergrad Why Do Algebraic Continuity Theorems Confuse Me?
- Of Mike and Men
- · Replies 4 ·
Graduate Distributions on non-test functions
- pellman
- · Replies 4 ·
Graduate Distributions & test functions in specific applications
- jasonRF
- · Replies 2 ·
Graduate What is the intuitive meaning of continuity in topology?
- kade
- · Replies 19 ·
Graduate Proving the Limit of a Sequence is Unique: Real Analysis Class
- B3NR4Y
- · Replies 4 ·
Proof of Supremum of $M$ Mapping into Itself
- ozkan12
- · Replies 5 ·
Graduate Points on a Plane: Representation with 1 or 2 Real Numbers?
- jeremy22511
- · Replies 3 ·
Generalization of Banach contraction principle
- ozkan12
- · Replies 1 ·
Contraction constant in banach contraction principle
- ozkan12
- · Replies 3 ·
Continuous mapping and fixed point
- ozkan12
- · Replies 6 ·
Proof of Banach-Caccioppoli theorem
- ozkan12
- · Replies 10 ·
Proof of Contraction Mapping for $f\left(x\right)={e}^{{-e}^{-x}}$
- ozkan12
- · Replies 12 ·
Undergrad Define the complex number Z = u^v
- Bruno Tolentino
- · Replies 6 ·
Undergrad Complex numbers and negative roots
- alvin51015
- · Replies 28 ·
Graduate Confusion about definition of compactness
- Chain
- · Replies 8 ·
Graduate Why isnt Cauchy's formula used for the perimeter of ellipse?
- Austin Daniel
- · Replies 9 ·
Undergrad Complex numbers and beyond....
- Bruno Tolentino
- · Replies 3 ·
Show Metric Proves All Points Inside Circle Have Same Center
- Julio1
- · Replies 2 ·
Please check Residue theorem excercise
- ognik
- · Replies 8 ·
Undergrad How Many Spanning Trees Can a Graph Have?
- Marvin94
- · Replies 1 ·
Graduate What is a derivative in the distribution sense?
- pellman
- · Replies 2 ·
Graduate Is Category Theory Really Useless for Building Versatile Scientific Models?
- hepiaaro
- · Replies 7 ·
Graduate Does Bott periodicity imply homotopy equivalences?
- nonequilibrium
- · Replies 1 ·
Proof of Cauchy Integral formula
- ognik
- · Replies 4 ·
Zero Integral Implies Zero Function
- Julio1
- · Replies 2 ·
Generalized triangle inequality in b-metric spaces
- ozkan12
- · Replies 3 ·
Triangle inequality in b-metric spaces
- ozkan12
- · Replies 11 ·
Find coefficiant of Laurent series, without using residue
- ognik
- · Replies 1 ·
Graduate Sufficient condition for the density
- Flem
- · Replies 1 ·
Finding Complex Roots: Poles of $ \frac{1}{{z^4}+4} $, {z: |z-1| LE 2}
- ognik
- · Replies 5 ·
Please check find residue problem
- ognik
- · Replies 2 ·
Graduate Are all smooth functions square-integrable?
- pellman
- · Replies 2 ·
Graduate Entire Functions and Lacunary Values.
- WWGD
- · Replies 8 ·
Why Is the Existence of m and n Guaranteed in the Cauchy Sequence Proof?
- ozkan12
- · Replies 8 ·
Path dependance of complex conjugate
- ognik
- · Replies 16 ·
Understanding the Laurent Series of $\frac{1}{z(z-1)(z-2)}$
- ognik
- · Replies 4 ·
Graduate How does this statement follow? (adjoints on Hilbert spaces)
- pellman
- · Replies 1 ·
Graduate What happens when two identical one-sided objects are merged in space?
- Observeraren
- · Replies 2 ·
Graduate What is the Nature of Singularity in the Function f(x)=exp(-1/z)?
- ion santra
- · Replies 2 ·
Cauchy Integral Theorem with partial fractions
- ognik
- · Replies 2 ·
Graduate How does one-to-oneness follow from this?
- pellman
- · Replies 2 ·
High School I think I'm missing something in this complex number problem
- JR Sauerland
- · Replies 9 ·
Graduate How does the idea of entropy relate to something like E8
- Jimster41
- · Replies 5 ·
Undergrad Proof of Infinite Set of Real Numbers Between Two Unequal Real Numbers
- RandomAllTime
- · Replies 18 ·
Graduate Why my endomorphisme between Polynomial fonction is not continuous?
- Calabi
- · Replies 6 ·
Intuition for inverse hyperbolics
- ognik
- · Replies 3 ·
1st Derivative of Cauchy Integral formula
- ognik
- · Replies 2 ·
Contour integral representation of Kronecker delta
- ognik
- · Replies 2 ·
Reverse direction for complex functions
- ognik
- · Replies 4 ·
Undergrad Is a Perfect Circle Possible Given the Limitations of Pi and Space?
- Josh S Thompson
- · Replies 54 ·
Tricky Complex number simplification
- ognik
- · Replies 2 ·
Why is a complex function analytic if it has a non-zero imaginary component?
- ognik
- · Replies 4 ·
Graduate Group theory? This solution doesn't make sense....
- applestrudle
- · Replies 2 ·
Graduate Understand Successive Bisection for Theorem Proof
- elliti123
- · Replies 10 ·
Undergrad Fundamental theorem of algebra and factoring?
- pellman
- · Replies 6 ·
Reverse triangle inequality with a + sign
- ognik
- · Replies 2 ·
Do Cauchy-Riemann Conditions Guarantee Analyticity?
- ognik
- · Replies 1 ·
Graduate Solve Endomorphism Sequence Questions in a Vectoriel Space
- Calabi
- · Replies 7 ·
Understanding the Concept of Double Conjugate in Complex Functions
- ognik
- · Replies 2 ·
Graduate Question on dense subset of l^p space
- kostas230
- · Replies 6 ·
Graduate Questioning an assumption in calculus of variations
- hideelo
- · Replies 4 ·
Undergrad Mathematical insight about waves
- Mappe
- · Replies 6 ·
Graduate Fourier Series: Understanding Non-Periodic Signals
- tim9000
- · Replies 6 ·
Proving d(x,A) ≤ d(x,y) + d(y,A) in Metric Spaces
- ozkan12
- · Replies 1 ·
Graduate Weierstrass p-Function Asympototics?
- "pi"mp
- · Replies 5 ·
Find Roots of sin z: Solutions & Explanations
- ognik
- · Replies 3 ·
Outer measure exclusion of zero set question
- Tom555
- · Replies 2 ·
Graduate Nonlinear constrained optimization - how?
- maistral
- · Replies 19 ·
Undergrad Why are Real Numbers Often Referred to as Points in Mathematical Functions?
- shuxue
- · Replies 2 ·
Graduate Real part of this complex quantity
- giuliopascal
- · Replies 3 ·
Prove sinh(z) Identity: Show |sinh(z)|^2 = sin^2x + sinh^2y
- ognik
- · Replies 1 ·
Graduate Motivation of sin and cos functions
- Mappe
- · Replies 5 ·
Graduate Rigorousness of this Dirac delta formula
- ShayanJ
- · Replies 20 ·
Graduate How many topologies exist on 4 points? Any nomenclature?
- Cruikshank
- · Replies 3 ·
Graduate Question about a flat torus topology
- Jimster41
- · Replies 21 ·
Graduate ....they say it's very difficult to show what sqrt2 is....
- strobeda
- · Replies 8 ·
Graduate Evaluating a limit of a function of two variables
- Cristopher
- · Replies 1 ·