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.
Threads
Undergrad Using Intermediate Value Theorem to prove # of polynomial roots
- KingNothing
- · Replies 1 ·
Graduate What are the conditions for non-integer exponents to be single valued?
- Black Integra
- · Replies 1 ·
Graduate Looking for reading suggestions
- Minimonster
- · Replies 2 ·
Undergrad What behind the idea of representing real numbers as points ?
- mahmoud2011
- · Replies 6 ·
Graduate ALgebraic Topology Query (Hatcher) - Not Homework
- Singularity
- · Replies 3 ·
Graduate Why is (0,1) not compact in topology?
- Newtime
- · Replies 35 ·
Undergrad Limits of Complex exponentials
- Sanjeev-ISE
- · Replies 4 ·
Graduate Is a general sequence possible for the given data?
- SithsNGiggles
- · Replies 2 ·
Graduate Is the cantor set diffeomorphic to the fat cantor set?
- LBloom
- · Replies 23 ·
Undergrad Mathematical objects, structures and spaces
- autodidude
- · Replies 5 ·
Graduate Understanding the Implication in the Proof of a Theorem
- MIB
- · Replies 13 ·
Graduate What is the Inner Product Space for Square-Integrable Functions?
- mekarim
- · Replies 2 ·
Graduate Why the circle can't be homeomorphic to a real interval
- camel_jockey
- · Replies 17 ·
Graduate [Topology] why the words finer and coarser ?
- nonequilibrium
- · Replies 6 ·
Graduate What metric from given manifold?
- gunnpark
- · Replies 8 ·
Graduate The usual topology is the smallest topology containing the upper and lower topology
- rlkeenan
- · Replies 2 ·
Graduate How Does Cutting a Torus with a Mobius Strip Alter Its Geometry?
- addedline8
- · Replies 3 ·
Graduate Angle on abstract metric space, has sense?
- Damidami
- · Replies 12 ·
Graduate How Do We Know That Every Closed Subset of the Cantor Set Is a Retract?
- Bacle
- · Replies 10 ·
Graduate Is the Quotient Space of Identifying Rational Numbers Compact and Hausdorff?
- felper
- · Replies 9 ·
Graduate Definition of boundary operator
- GatorPower
- · Replies 2 ·
Graduate Smooth manifolds and affine varieties
- ForMyThunder
- · Replies 4 ·
Graduate Understanding Function Spaces: What Are They?
- coverband
- · Replies 11 ·
Graduate Continuous Bijection f:X->X not a Homeo.
- Bacle
- · Replies 9 ·
Graduate Can someone explain the resolution to the complex power paradox?
- LAHLH
- · Replies 10 ·
Graduate Lipschitz function and Baire Category Theorem
- itzik26
- · Replies 4 ·
Graduate Proper Function: Homeomorphism or Not?
- Lie
- · Replies 5 ·
Graduate Topology Problems for Challenging Students
- micromass
- · Replies 32 ·
Graduate Generalizations (from metric to topological spaces)
- Fredrik
- · Replies 6 ·
Undergrad How many square roots does a complex number have?
- dalcde
- · Replies 3 ·
Graduate Finite Supremum and Infinium Solution for Munkres Text Question 20.7
- Fisicks
- · Replies 2 ·
Graduate How does the second paragraph prove that \tau' is the same as \tau?
- camilus
- · Replies 2 ·
Graduate Verifying the metric space e = d / (1 + d)
- pdonovan
- · Replies 4 ·
Undergrad Understanding Arccos(x) for Values Outside [-1, 1]
- Philosophaie
- · Replies 7 ·
Graduate Jordan-Brouwer Separation Theorem and Invariance of Domain
- Anonymous217
- · Replies 10 ·
Graduate Describing All covering Spaces of a Product Space
- Bacle
- · Replies 5 ·
Graduate CP^2 , and CP^2 -bar, are not diffeomorphic.
- WWGD
- · Replies 10 ·
Undergrad Basic knowledge about real analysis
- sumit_kumar
- · Replies 2 ·
Graduate Homemorphism between the set of circles with rational points and rectangles
- praveen97uma
- · Replies 2 ·
Graduate Cartesian product of separable metric spaces
- Andeweld
- · Replies 2 ·
Undergrad Intro to Topology Recommended Texts
- STEM2012
- · Replies 7 ·
Graduate Understanding Complex Func., Laplace Transforms & Cauchy Riemann
- phiby
- · Replies 3 ·
Graduate Local Continuity and Restriction
- Bacle
- · Replies 4 ·
Graduate A convergent sequence of reals
- Dr. Seafood
- · Replies 7 ·
Graduate Should I take general topology or complex analysis?
- henryN7
- · Replies 2 ·
Graduate Unleashing a Cyber Attack: The Dangers of Corrupting the Internet
- Fredrik
- · Replies 9 ·
Undergrad Complex number problem, could the problem be wrong?
- mariush
- · Replies 7 ·
Graduate Definitions of topology and analysis
- Fredrik
- · Replies 7 ·
Graduate Foliation of 4-dimensional connected Hausdorff orientable paracompact manifold
- ivl
- · Replies 13 ·
Graduate Cauchy Reimann & Complex functions
- phiby
- · Replies 2 ·
Graduate How can we find the true solution for cosh x = tanh x?
- dimension10
- · Replies 12 ·
Graduate How important is topology for modern mathematics?
- kramer733
- · Replies 9 ·
Graduate Polya and Szego Problems in Analysis?
- ArcanaNoir
- · Replies 1 ·
Graduate Does an Homeomorphism Preserve Boundary Correspondence in Topological Spaces?
- aleazk
- · Replies 9 ·
Graduate Question about the Banach–Tarski paradox.
- cragar
- · Replies 7 ·
Graduate Analytic Function (3+x-iy)^7 in Domain [z]<2?
- tibphysic
- · Replies 1 ·
Graduate Theorem 1.21 Rudin. Obviously wrong stated, right?
- saim_
- · Replies 3 ·
Undergrad How do you take this complex conjugate?
- AxiomOfChoice
- · Replies 4 ·
Graduate Answer for Munkres Topology Problem 17.18 - Share Your Solution!
- Fisicks
- · Replies 2 ·
High School Reviewing How to Find Complex Roots: e.g. x3= 8
- BloodyFrozen
- · Replies 4 ·
Graduate Closed Subsets and Limits of Sequences: A Topology Book Example
- Fredrik
- · Replies 5 ·
Undergrad Can one excel in higher level math courses without studying real analysis?
- autre
- · Replies 3 ·
Graduate How Does the Fubini-Study Metric Compare to the Standard Metric on the 2-Sphere?
- lavinia
- · Replies 6 ·
Graduate Convergent subsequences in compact spaces
- redbowlover
- · Replies 11 ·
Graduate Topological and neighbourhood bases
- Rasalhague
- · Replies 5 ·
Graduate Product of compact sets compact in box topology?
- spicychicken
- · Replies 3 ·
Graduate Open and closed sets in metric spaces
- Dr. Seafood
- · Replies 2 ·
Graduate Proof that a function is of exponential order
- awelex
- · Replies 5 ·
Graduate Understanding Homotopies and Degree Invariance in Topology
- jgens
- · Replies 2 ·
Graduate Is the Function F(x, y) Continuous at All Points?
- tomboi03
- · Replies 3 ·
Undergrad What does All but finitely many n mean?
- kntsy
- · Replies 8 ·
Undergrad Why does the 'i' disappear in the simplification of a complex number sum?
- RoughRoad
- · Replies 4 ·
Graduate Examples of infinite/arbitrary unions of closed sets that remain closed.
- wisvuze
- · Replies 3 ·
Graduate Topology question → What geometric figure?
- ukumari
- · Replies 3 ·
Graduate Is every Closed set a complete space?
- alemsalem
- · Replies 6 ·
Graduate What Is the Real Part of x Divided by the Factorial of -1?
- elegysix
- · Replies 6 ·
Graduate A compact, B closed Disjoint subsets of Metric Space then d(A,B)=0
- Bacle
- · Replies 4 ·
Graduate Topology Q: Show f is Continuous in X with d and A
- mbarby
- · Replies 3 ·
Graduate Convergence of a sequence of points on a manifold
- yifli
- · Replies 3 ·
Graduate Bounding the Diameter of Union of Two Sets in a Metric Space
- nirajkadiyan6
- · Replies 7 ·
Graduate What combinations satisfy this complex exponentiation property?
- bruno67
- · Replies 3 ·
Undergrad Complex Number Graph : x^5 = 1
- jlpmghrs
- · Replies 5 ·
Graduate Homeomorphisms Send Bdries to Bdries
- Bacle
- · Replies 4 ·
Graduate Accumulation Points in [0,1]: Understanding the Boundaries
- mbarby
- · Replies 9 ·
Graduate What happens when we rise a number to the power of i ?
- momentweaver
- · Replies 6 ·
Graduate Showing Dense G_δ-Subspace of Baire Space is a Baire Space
- Lie
- · Replies 2 ·
Graduate Open Sets in R^n: Show Dot Product Is Open
- seydunas
- · Replies 6 ·
Graduate The meaning of different in Munkres' Topology
- madsmh
- · Replies 2 ·
Graduate Complex Analysis/Topology Proof Help
- MurraySt
- · Replies 4 ·
Graduate Topolgy with Thoughtspacezero (youtube)(error?)
- Kidphysics
- · Replies 8 ·
Undergrad Connection between Monotone and One-to-one Functions
- hadron23
- · Replies 10 ·
Undergrad Functional iteration and convergence
- bbb999
- · Replies 14 ·
Undergrad When does the argument of a complex number follow the sum of angles formula?
- Snowfall
- · Replies 4 ·
Graduate Proving Compactness of a Topological Group Using Subgroups and Quotient Spaces
- Lie
- · Replies 10 ·
Undergrad Learn Topology: Resources for Beginners
- dalcde
- · Replies 12 ·
Graduate Is the Riemann Zeta Function of 0 Infinity or -1/2?
- dimension10
- · Replies 7 ·
Undergrad Plotting e^(a+ix) for Beginners
- silent_hunter
- · Replies 7 ·
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 ·