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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High School Is the Geometry/Topology of Mazes a thing?
- DaveC426913
- · Replies 18 ·
Proving Relatively Compactness in C([a, b]) using Arzelá-Ascoli Theorem
- fabiancillo
- · Replies 2 ·
Prove that it converges uniformly
- fabiancillo
- · Replies 2 ·
Undergrad Functions.wolfram.com accepted and published my formula for Gamma Fn
- benorin
- · Replies 11 ·
Undergrad Proving a convergent sequence is bounded
- cbarker1
- · Replies 3 ·
Undergrad How Does Fourier Transform Analyze Beats in Signals?
- Salmone
- · Replies 7 ·
Undergrad Proof of Induction Principle starting from N, not from 1
- Hall
- · Replies 6 ·
Undergrad Looking for an expert on integrals
- benorin
- · Replies 0 ·
How do I use the definition to find a limit of a sequence?
- slwarrior64
- · Replies 2 ·
Graduate Pontrjagin classes in cohomology with coefficient rings
- quasar987
- · Replies 4 ·
Insights The Orin Fractional Calculus
- benorin
- · Replies 9 ·
How Do Riemann Integrals Handle Function Splits and Summations?
- evinda
- · Replies 2 ·
Undergrad Looking for Someone Strong in Analysis
- benorin
- · Replies 12 ·
Insights The Extended Riemann Hypothesis and Ramanujan’s Sum
- fresh_42
- · Replies 3 ·
Graduate Measure of non-periodicity of almost periodic functions
- reterty
- · Replies 1 ·
Recursive Function for Virus Spread: Finding the General Solution
- Tekilou
- · Replies 3 ·
Undergrad Hopf Fibration, torus with fibers, do it 2 ways?
- Spinnor
- · Replies 14 ·
Proving Lemma 3.3 of L&S: Further Aspects of the Proof
- Math Amateur
- · Replies 2 ·
Undergrad What's the definition of "periodic extension of a function"?
- CGandC
- · Replies 14 ·
Undergrad Show that (0, ∞) is homeomorphic to (0, 1)
- Mikaelochi
- · Replies 6 ·
Undergrad The behavior of a potential-like integral at infinity
- wrobel
- · Replies 21 ·
Infinite series involving 'x' has a constant value
- SatyaDas
- · Replies 3 ·
Riemann integrable functions with compact support on D&K pages 427-428
- Math Amateur
- · Replies 2 ·
How can we prove the inequality for the supremum and infimum of f*g and f*g?
- Math Amateur
- · Replies 2 ·
Finding B' in Proposition 6.1.2 for n=2 in Duistermaat-Kolk
- Math Amateur
- · Replies 4 ·
Complex Analysis: Does $\int_{C(0,10)} f(z)$ Equal 0?
- mathmari
- · Replies 2 ·
Undergrad In Euclidian space, closed ball is equal to closure of open ball
- CGandC
- · Replies 7 ·
Undergrad Duistermaat–Kolk Prop. 6.1.2: volume additivity with overlapping rectangles
- Math Amateur
- · Replies 22 ·
Graduate Hausdorff property of projective space
- Korybut
- · Replies 9 ·
Graduate Understanding Cantor set C in Ternary form with 1/n factor in front C
- cbarker1
- · Replies 4 ·
Undergrad Describing homeomorphisms with the π1 function
- Mikaelochi
- · Replies 2 ·
Graduate DMD is better without Ergodic Theory and Koopman Operators
- AcademicOverAnalysis
- · Replies 2 ·
Undergrad Brunnian links with lark's-head knots instead of standard rubberband loops
- egmoen
- · Replies 4 ·
A function given by a logical expression write in the truth table.
- vokan12
- · Replies 2 ·
Undergrad Writing down an explicit homotopy
- Mikaelochi
- · Replies 4 ·
High School Is there a function for every possible "path"?
- Jurgen M
- · Replies 19 ·
Undergrad "Approximating Basis" -- Is there a contemporary term?
- Ziva
- · Replies 9 ·
Undergrad Why Does the Complex Conjugate Involve Negating the Argument Theta?
- Leo Liu
- · Replies 9 ·
Undergrad Broadly spiralling shape from partial sums of Zeta (0.5 + i t)
- Swamp Thing
- · Replies 8 ·
Undergrad Showing that a group acts freely and discretely on real plane
- kmitza
- · Replies 5 ·
High School Is the Quotient Topology of Real Numbers Homeomorphic to Real Numbers?
- Korybut
- · Replies 6 ·
Undergrad Is zero set aposyndetic equivalent to aposyndetic?
- kmitza
- · Replies 2 ·
Graduate Limits and Supremum: Is It True?
- Mathvsphysics
- · Replies 3 ·
High School What kind of definition is this?
- mcastillo356
- · Replies 23 ·
Does This Sequence Converge Uniformly?
- mathmari
- · Replies 4 ·
Complex numbers such that modulus (absolute value) less than or equal to 1.
- Taleb
- · Replies 2 ·
High School Why Is the Trick for Open Sets in Quotient Topology Valid?
- Korybut
- · Replies 8 ·
Undergrad Doing proofs with the variety function and the Zariski topology
- Mikaelochi
- · Replies 5 ·
Undergrad A problem of completeness of a metric space
- facenian
- · Replies 3 ·
Undergrad Proving a function f is continuous given A U B = X
- Mikaelochi
- · Replies 5 ·
Undergrad Solving Zeno's Paradox: The Flaw in the Notion of Infinity
- Chris S
- · Replies 46 ·
Undergrad Show R² \ {(0,0)} and the annulus 1 < √(x²+y²) < 3 are homeomorphic
- Mikaelochi
- · Replies 8 ·
High School Can we have a complex number in the exponent?
- docnet
- · Replies 2 ·
Determine the area, calculate the basis vectors and determine the inner product
- Karl Karlsson1
- · Replies 2 ·
Undergrad An open set can be a closed interval?
- Demystifier
- · Replies 12 ·
Extrema and convergence of sequence
- mathmari
- · Replies 9 ·
Calculate the volume of the set M
- mathmari
- · Replies 7 ·
What percentage is 60 million of 60 billion?
- apw
- · Replies 2 ·
Need help with topology or analysis
- jaychay
- · Replies 3 ·
Limit comparison test
- jaychay
- · Replies 11 ·
Graduate Topological Data Analysis - Persistent Homology
- phys_student1
- · Replies 8 ·
High School Real numbers and complex numbers
- grzz
- · Replies 38 ·
How to Solve a Harmonic Function Problem Involving Partial Derivatives?
- jaychay
- · Replies 3 ·
Cauchy-Riemann Equations test problem
- jaychay
- · Replies 6 ·
Help with harmonic function problem
- jaychay
- · Replies 2 ·
Undergrad Continuity of an inverse of a function
- archaic
- · Replies 2 ·
Help with complex number function problems
- jaychay
- · Replies 12 ·
Complex number equation graph problem
- jaychay
- · Replies 12 ·
Global Extrema of a Trigonometric Function
- mathmari
- · Replies 16 ·
No Real Zeroes of $x^6-x^5+x^4-x^3+x^2-x+\dfrac{3}{4}$
- anemone
- · Replies 1 ·
Expanding open sets and shrinking closed sets in Carothers 16.1
- Math Amateur
- · Replies 2 ·
High School What is the nature of dimensionality in 11 dimension M-theory?
- Paige_Turner
- · Replies 2 ·
Undergrad Pseudometric Spaces: What Are They and Why Are They Important in Mathematics?
- Paige_Turner
- · Replies 9 ·
Graduate Is the Assertion Derived from a General Theorem Trivial or Interesting?
- wrobel
- · Replies 0 ·
Finding the Unique Solution of a Polar System with Variable Radius?
- Jiggerjaw
- · Replies 2 ·
Undergrad Negative curvature in low dimensions
- Paige_Turner
- · Replies 3 ·
Undergrad Is there a "Nice" proof that R^2 is not disconnected when we remove 2 points
- WWGD
- · Replies 3 ·
Graduate What Are n-Dimensional Holes in Topology?
- WWGD
- · Replies 5 ·
Verifying topology axioms for ℝ ∪ {★} with custom open sets
- mathmari
- · Replies 2 ·
Undergrad Regarding i^2, and why it's -1 and not 1
- Grasshopper
- · Replies 45 ·
Undergrad Maximal collection with FIP and T₁ separation axiom
- facenian
- · Replies 7 ·
Graduate How Do You Determine the Mapping Functions in a Curvilinear Coordinate System?
- zaki
- · Replies 2 ·
Prove that series converges uniformly
- fabiancillo
- · Replies 3 ·
Prove that the algebra generated is dense
- fabiancillo
- · Replies 2 ·
Correctness of Statements about Set A in Metric Space X
- mathmari
- · Replies 32 ·
Graduate Fourier transform of hyperbolic tangent
- jjr
- · Replies 6 ·
Prove/Disprove: Uniform Continuity of sin(sin(x))
- solakis1
- · Replies 4 ·
F doesn't have in (0,0) a local minimum
- mathmari
- · Replies 4 ·
Points of the surface with minimum distance to the point (3,0,0)
- mathmari
- · Replies 4 ·
Why is \( T_k \) the Unique Polynomial of Degree \( k \) with These Properties?
- mathmari
- · Replies 32 ·
F convex iff Hessian matrix positive semidefinite
- mathmari
- · Replies 24 ·
What Are Level Lines and Gradients in Multivariable Calculus?
- mathmari
- · Replies 22 ·
Is f Differentiable at (0,0)?
- mathmari
- · Replies 8 ·
Undergrad Angles between complex vectors
- Physgeek64
- · Replies 3 ·
Can the Sum of Two Squares Ever Equal 3 Times a Perfect Square?
- MathLover_James
- · Replies 2 ·
Partial derivatives of piecewise function with x^2sin(1/x) terms
- mathmari
- · Replies 21 ·
F is partially differentiable in (0,0) but not total differentiable
- mathmari
- · Replies 11 ·
Finding the Infimum and Supremum
- slwarrior64
- · Replies 4 ·
Undergrad ##(a_n) ## has +10,-10 as partial limits. Then 0 is also a partial limit
- CGandC
- · Replies 13 ·
Graduate Is There a Simple Method to Analyze the Boundary of the 3-Sphere?
- jk22
- · Replies 43 ·