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 A differential geometry question from continuum mechanics
- wrobel
- · Replies 18 ·
Graduate Zeros of functions analytic in 2 variables
- Paul Colby
- · Replies 6 ·
Undergrad What is "x" in this definition of a basis?
- Hill
- · Replies 4 ·
Graduate Knots In 4D
- Hornbein
- · Replies 2 ·
Graduate A nice YouTube channel about all things Riemann Zeta
- Swamp Thing
- · Replies 1 ·
Undergrad About the definition of topological manifold using closed sets
- cianfa72
- · Replies 14 ·
Graduate Trivial fiber bundle vs product space
- cianfa72
- · Replies 31 ·
Graduate Another similar notion to compactness
- mad mathematician
- · Replies 2 ·
Graduate Hopf fibration of 3-sphere
- cianfa72
- · Replies 39 ·
Graduate Shauder basis for Hilbert spaces
- cianfa72
- · Replies 0 ·
Undergrad Finding the inverse tangent of a complex number
- bsaucer
- · Replies 3 ·
Undergrad Apparent counterexample to Cauchy-Goursat theorem (Complex Analysis)
- SomeBody
- · Replies 7 ·
Undergrad 2-sphere intrinsic definition by gluing disks' boundaries
- cianfa72
- · Replies 11 ·
Undergrad Confused by proof in Hocking and Young
- yossell
- · Replies 4 ·
Undergrad "Magic" regulating functions for divergent series
- Swamp Thing
- · Replies 3 ·
High School How does the Riemann Hypothesis/Riemann Zeta function even work?
- Beyond3D
- · Replies 17 ·
Graduate Question about intersection of coordinate rings
- MathLearner123
- · Replies 1 ·
Undergrad How are the following three definitions subtly different?
- elias001
- · Replies 15 ·
Undergrad Evaluate two complex integrals along a parabolic contour
- elias001
- · Replies 2 ·
Undergrad Convergence not defined by any metric
- elias001
- · Replies 17 ·
Undergrad Homemorphism in quotient topology
- elias001
- · Replies 5 ·
Undergrad No structure in ##(d,x)## in ##\textbf{Met*}(X)## is admissible
- elias001
- · Replies 0 ·
Undergrad A beginner’s thoughts on rotation number -- Resource suggestion request
- Pencilvester
- · Replies 6 ·
Insights The Many Faces of Topology
- fresh_42
- · Replies 3 ·
Undergrad (0,1) is uncountable using binary expansions?
- psie
- · Replies 15 ·
Graduate Expansion with respect to ##z_1##
- MathLearner123
- · Replies 1 ·
Undergrad What is the 4D Equivalent of a Möbius Strip or Klein Bottle?
- blackholesarecool
- · Replies 30 ·
Undergrad In Which N-Dimensional Spaces Are Rotations Chiral?
- Hornbein
- · Replies 11 ·
High School Functions f: ℝ --> ℝ
- mairzydoats
- · Replies 8 ·
Undergrad How to see that cos(z) is unbounded, but cos(xy)+isin(xy) is bounded?
- am4th
- · Replies 8 ·
Undergrad Continuity of linear map from subspace of Euclidean space
- psie
- · Replies 2 ·
Undergrad Uniform convergence of difference quotient in higher dimensions
- psie
- · Replies 1 ·
Graduate A complicated integral to be evaluated by complex contour method
- Bengy
- · Replies 14 ·
Undergrad Dyadic cubes generate Borel sigma algebra of subset
- psie
- · Replies 2 ·
High School Topological neigborhoods that are not intervals in the real line?
- mcastillo356
- · Replies 15 ·
Undergrad Homeomorphism onto a not open image in the target
- cianfa72
- · Replies 2 ·
Undergrad On commutativity of convolution
- psie
- · Replies 3 ·
Undergrad A concise "proof" of the Riemann-Lebesgue lemma
- psie
- · Replies 1 ·
Undergrad A curve that does not meet rational points
- wrobel
- · Replies 9 ·
Undergrad Relation between a circle and line in complex plane
- Darshit Sharma
- · Replies 16 ·
Undergrad About convergence of complex power series on the circle ##|z - z_0|=r##
- cianfa72
- · Replies 22 ·
Graduate Information theory via knot theory
- Twodogs
- · Replies 15 ·
Undergrad Connection between absolute continuity of function and measure
- psie
- · Replies 2 ·
Undergrad Pointwise convergence in Lp space
- psie
- · Replies 1 ·
Undergrad Norm of integral less than or equal to integral of norm of function
- psie
- · Replies 3 ·
High School Continuity of ln(x) function
- eneacasucci
- · Replies 11 ·
Undergrad How to show the diagonal in the extended plane is closed?
- psie
- · Replies 4 ·
Undergrad Verifying pointwise convergence of indicator functions
- psie
- · Replies 4 ·
Undergrad Measure with respect to complete measure is also complete
- psie
- · Replies 3 ·
Undergrad Help understanding a passage from a proof of change of variables formula
- psie
- · Replies 1 ·
Undergrad Metric Tensor on ##S^1## x ##S^2##
- Onyx
- · Replies 6 ·
Undergrad Unit sphere is compact in 1-norm
- psie
- · Replies 3 ·
Undergrad Zero raised to a positive real number
- psie
- · Replies 12 ·
Undergrad Exercise 2.23 in Folland's real analysis text
- psie
- · Replies 2 ·
Undergrad Does Ricci Flow Contract a 3-Sphere to Its Center?
- casparov
- · Replies 1 ·
Undergrad On base-b expansion of nonnegative reals
- psie
- · Replies 7 ·
Undergrad On translation and dilation invariant Lebesgue measure: Folland's text
- psie
- · Replies 2 ·
Undergrad Simple partitioning of sequence in Proposition 1.15 in Folland's text
- psie
- · Replies 3 ·
Undergrad Regarding dominated convergence theorem in Folland
- psie
- · Replies 5 ·
Undergrad On Borel sets of the extended reals
- psie
- · Replies 2 ·
High School Can Riemann integrable be defined using the epsilon delta non method?
- hongseok
- · Replies 5 ·
Undergrad Basic question on 'bounded implies totally bounded'
- psie
- · Replies 16 ·
Undergrad Open balls dense in closed balls in Euclidean space
- psie
- · Replies 2 ·
Insights Views On Complex Numbers
- fresh_42
- · Replies 108 ·
Undergrad Show that a "cross" is not a topological manifold
- cianfa72
- · Replies 20 ·
Undergrad Tough lemma on locally finite refinement
- Korybut
- · Replies 8 ·
Insights Aspects Behind the Concept of Dimension in Various Fields
- fresh_42
- · Replies 2 ·
Graduate Cubical cup poduct with a unit 1-cochain and the coboundary operator
- CoreSpace
- · Replies 0 ·
Undergrad Opinion about an introduction of the Lebesgue integral in "Introduction to Hilbert spaces with applications"
- Cauer
- · Replies 5 ·
Undergrad Compact support functions and law of a random variable
- psie
- · Replies 11 ·
Undergrad Question about partial derivative relations for complex numbers
- binbagsss
- · Replies 9 ·
Undergrad Uniform closure of algebra of bounded functions is uniformly closed
- psie
- · Replies 2 ·
Undergrad Parallel rectangles contained in oblique rectangle
- psie
- · Replies 5 ·
Graduate Question about different statements of Picard Theorem
- MathLearner123
- · Replies 0 ·
Undergrad Question about convex property in Jensen's inequality
- psie
- · Replies 4 ·
Undergrad A non-empty intersection of closures of level sets implies discontinuity
- pasmith
- · Replies 1 ·
Graduate Proving that this integral is divergent
- cbarker1
- · Replies 2 ·
Graduate Question about covering map of punctured unit disk
- MathLearner123
- · Replies 3 ·
Graduate Question about lifting of a function
- MathLearner123
- · Replies 2 ·
Graduate Question about existence of path-lifting property
- MathLearner123
- · Replies 8 ·
Undergrad Riemann integrability and uniform convergence
- lys04
- · Replies 2 ·
Integration in Polar Coordinates (Fubini/Tonelli)
- joypav
- · Replies 4 ·
Undergrad On theorem 1.19 in Folland's and completion of measure
- psie
- · Replies 1 ·
Undergrad Formal definition of multiplication for real and complex numbers
- logicgate
- · Replies 2 ·
High School Identity Theorem for power series
- Hill
- · Replies 10 ·
Undergrad Are slices of measurable functions measurable?
- Office_Shredder
- · Replies 3 ·
Undergrad Post your favorite real analysis problem
- docnet
- · Replies 5 ·
Undergrad On integral of simple function and representation
- psie
- · Replies 6 ·
Undergrad Collection of finite unions of half-open intervals form an algebra
- psie
- · Replies 3 ·
Undergrad How Does the Hopf Map Relate to Foliation and Knot Theory on the 3-Torus?
- Anko
- · Replies 8 ·
Undergrad Help with basic transfinite induction proof
- psie
- · Replies 2 ·
Undergrad On two definitions of locally compact
- psie
- · Replies 5 ·
Undergrad Showing equivalence of two definitions of essential supremum
- psie
- · Replies 1 ·
Undergrad Two basic results from measure theory -- on volumes of rectangles
- psie
- · Replies 2 ·
Undergrad In which sense(s) do square integrable functions go to zero at infinity?
- gentzen
- · Replies 2 ·
Graduate Functional Analysis for Physics in 2024
- psterphysics
- · Replies 11 ·
Undergrad Question about branch of logarithms
- MathLearner123
- · Replies 14 ·
Graduate Can Equilibrium State Determine Complex Potential?
- binbagsss
- · Replies 5 ·
High School Finite linear combination of continuous functions is continuous?
- docnet
- · Replies 3 ·
Undergrad Verify the completion of continuous compactly supported functions
- psie
- · Replies 4 ·