Topology and Analysis Forum

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.

Sub-forums

Threads

Example of right upper semicontinuous function

  • ozkan12
  • · Replies 1 ·
Replies
1
Replies
1

Graduate Understanding // in the Hint for Showing Numbers of Form ±m√2/n Are Dense

  • strobeda
  • · Replies 2 ·
Replies
2

Graduate Transversal Intersection of More than 2 Surfaces

  • WWGD
  • · Replies 1 ·
Replies
1

Fixed Point Theorem & Contractive Maps

  • ozkan12
  • · Replies 2 ·
Replies
2

Graduate Basic questions on Nakahra's definition of topological space

  • mjordan2nd
  • · Replies 8 ·
Replies
8

Graduate Smallest subspace of a vector space

  • strobeda
  • · Replies 7 ·
Replies
7
Replies
4
Replies
4

What is the relationship between $f$ and $X$?

  • ozkan12
  • · Replies 9 ·
Replies
9

Proving Uni.Conv. of Fn to F on (0,1): Questions & Answers

  • bw0young0math
  • · Replies 1 ·
Replies
1

Graduate General Understanding of Terms [ Complex Analysis ]

  • RJLiberator
  • · Replies 6 ·
Replies
6

Contraction and contractive mapping

  • ozkan12
  • · Replies 4 ·
Replies
4

Graduate Divergence theorem on non compact sets of R3

  • Lebesgue
  • · Replies 1 ·
Replies
1

Graduate Defining Integrals over R^R, R^N

  • WWGD
  • · Replies 0 ·
Replies
0

Graduate Finding Branch Points and Branches for Complex Functions

  • iAlexN
  • · Replies 17 ·
Replies
17

Graduate How Can I Maximize a Functional with a Bounded Integral Constraint?

  • saminator910
  • · Replies 14 ·
Replies
14

Limit of upper semicontinuous function

  • ozkan12
  • · Replies 1 ·
Replies
1

Decreasing nonnegative sequence and nonincreasing functions

  • ozkan12
  • · Replies 4 ·
Replies
4

Graduate Why topology on a set is defined the way it is?

  • Ahmed Abdullah
  • · Replies 3 ·
Replies
3

Graduate Pochhammer contour over normal Riemann surface?

  • jackmell
  • · Replies 2 ·
Replies
2

Meaning of Cosx - Contraction, Contractive, Nonexpansive or Lipschtzian?

  • ozkan12
  • · Replies 2 ·
Replies
2
Replies
1

Is Limsup of Upper Semicontinuous Function True? Help Needed

  • ozkan12
  • · Replies 1 ·
Replies
1

Undergrad Why Does Setting m=0 Matter in Calculating Complex Numbers?

  • ahmed markhoos
  • · Replies 1 ·
Replies
1

Graduate Series and product development (Ahlfors)

  • gianeshwar
  • · Replies 9 ·
Replies
9

Finding Complete Orthogonal Systems for Boundary Value Problems

  • evinda
  • · Replies 7 ·
Replies
7

Fixed Point Theory: Lipschitz or Contraction?

  • ozkan12
  • · Replies 4 ·
Replies
4

Graduate Conformal Transformation: Fluid flow over surface waves

  • stedwards
  • · Replies 15 ·
Replies
15

Graduate Composition of a function with itself

  • Andre' Quanta
  • · Replies 19 ·
Replies
19

Graduate What kind of local topological "particles" can you get in R3?

  • nuclearhead
  • · Replies 1 ·
Replies
1

Undergrad Can Calculus/Analysis Help Determine Point Limits?

  • Blue and green
  • · Replies 7 ·
Replies
7

Can Linear Integral Operators Be Combined to Prove a Trivial Inequality?

  • sarrah1
  • · Replies 2 ·
Replies
2

Graduate Which sequence acceleration method should I use?

  • japplepie
  • · Replies 1 ·
Replies
1

Undergrad Vector Space Basis: Clarifying Linear Independence

  • bugatti79
  • · Replies 5 ·
Replies
5

Graduate Where to Find Challenging Complex Analysis Problems Online?

  • lizzie96'
  • · Replies 3 ·
Replies
3

Can we get to the desired relation?

  • evinda
  • · Replies 1 ·
Replies
1

Understanding the Radius of Convergence of e^x and its Series Expansion

  • evinda
  • · Replies 17 ·
Replies
17

Prove Euler's Equation for Functional $J(y)$

  • evinda
  • · Replies 8 ·
Replies
8
Replies
8

Finding a5 in an+1 Sequence Using a4 and 1/2

  • brunette15
  • · Replies 7 ·
Replies
7

Graduate How do I prove the existence of this norm?

  • zarei175
  • · Replies 2 ·
Replies
2

Graduate Derivatives and Linear transformations

  • raghad
  • · Replies 12 ·
Replies
12

Graduate Understanding the Proof for Uniform Continuity on Compact Intervals

  • Coffee_
  • · Replies 12 ·
Replies
12

Graduate Convergence of the sequence from Heron's method.

  • Coffee_
  • · Replies 6 ·
Replies
6

Graduate How to know which surface represents equation Q (x,y,z) =0?

  • starterYEAR
  • · Replies 2 ·
Replies
2

Solving Linear Integral Equation: Norm of Resolvent

  • sarrah1
  • · Replies 2 ·
Replies
2

Graduate Can We Determine a Complex Function from Its Poles Alone?

  • gonadas91
  • · Replies 8 ·
Replies
8

Graduate Can't understand a detail in paracompactness->normality

  • kostas230
  • · Replies 3 ·
Replies
3

Graduate Sensitivity to initial conditions

  • Zafa Pi
  • · Replies 2 ·
Replies
2

Undergrad High Resolution Upper Division Undergrad Math lecture videos

  • Blue and green
  • · Replies 1 ·
Replies
1

Numerical Analysis: Project 01 | CPP

  • mathisorange
  • · Replies 1 ·
Replies
1

Graduate Regarding the complex solutions of a torus

  • Philip
  • · Replies 5 ·
Replies
5

Undergrad Complex analysis book recommendation for electrical engineering

  • etf
  • · Replies 4 ·
Replies
4

Legendre Polynomial and Legendre Equation

  • Fantini
  • · Replies 1 ·
Replies
1

Absolute Value of Complex Integral

  • kalish1
  • · Replies 1 ·
Replies
1

Graduate Completely regular space and the Dirac measure

  • friend
  • · Replies 10 ·
Replies
10
Replies
1

Graduate Complex Analysis: Use of Cauchy

  • nateHI
  • · Replies 1 ·
Replies
1

Is the Triangle Inequality Applicable to Norms of Integral Operators?

  • sarrah1
  • · Replies 1 ·
Replies
1
Replies
3

Graduate Complex Analysis: Contour Integral

  • nateHI
  • · Replies 2 ·
Replies
2

Graduate Complex analysis and vector fields

  • Coffee_
  • · Replies 5 ·
Replies
5

Graduate Conformal Mapping: Sketch Regions & Find Mapping

  • diorific
  • · Replies 2 ·
Replies
2

Graduate Need Help With Discontinuity Proof

  • sonofagun
  • · Replies 10 ·
Replies
10

Graduate Multiplication of Path Classes and the Fundamental Group

  • Math Amateur
  • · Replies 2 ·
Replies
2

Graduate Covering Maps and Liftings - Munkres Theorem 54.4

  • Math Amateur
  • · Replies 2 ·
Replies
2

Graduate Torus - Singh, Example 2.2.5 - Baffled by certain aspects

  • Math Amateur
  • · Replies 6 ·
Replies
6

Need help in understanding proof of continuity of monotone function

  • kalish1
  • · Replies 1 ·
Replies
1

Graduate Integrals of the function f(z) = e^(1/z) (complex analysis)

  • Matt100
  • · Replies 4 ·
Replies
4

Square Root Solutions for Complex Numbers

  • Milly
  • · Replies 1 ·
Replies
1

Graduate 2nd order pole while computing residue in a complex integral

  • Karthiksrao
  • · Replies 1 ·
Replies
1

Graduate Is f(z) = e^(z^2) for all z in C?

  • Matt100
  • · Replies 1 ·
Replies
1

Graduate Path dependence (Complex Analysis)

  • Matt100
  • · Replies 1 ·
Replies
1

Graduate Proof: extremum has a semi definitie Hessian matrix

  • Coffee_
  • · Replies 6 ·
Replies
6

Graduate Legendre polynomials in the reverse direction

  • ognik
  • · Replies 2 ·
Replies
2
Replies
5

Is f Integrable and What Is the Limit of the Riemann Sum?

  • skippenmydesig
  • · Replies 1 ·
Replies
1

High School What Determines the Real and Imaginary Parts of a Complex Number?

  • Sampad Saha
  • · Replies 4 ·
Replies
4

Integral: Investigating Convergence II

  • maxkor
  • · Replies 1 ·
Replies
1

Integral: Investigating Convergence I

  • maxkor
  • · Replies 1 ·
Replies
1

Undergrad List of ways to highly accurately solving a mixed equation

  • Philosophaie
  • · Replies 2 ·
Replies
2

Graduate Examples of 2-manifold homotopic but not homeomorphic

  • jk22
  • · Replies 52 ·
2
Replies
52

Graduate What Is the Standard Name for This Theorem About Meromorphic Functions?

  • nateHI
  • · Replies 7 ·
Replies
7

Graduate What is meant when $\sigma$ is said to be discriminatory?

  • jamesb1
  • · Replies 5 ·
Replies
5

Norm of a linear integral operator

  • sarrah1
  • · Replies 12 ·
Replies
12

Undergrad An Interesting Complex Number Problem

  • Mkbul
  • · Replies 3 ·
Replies
3

Finding an Infinite Binary Sequence with Average Frequency of 1's = p

  • caffeinemachine
  • · Replies 1 ·
Replies
1

Graduate How Can a Positive Increasing Function Minimize a Cosine-Squared Integral?

  • dirk_mec1
  • · Replies 10 ·
Replies
10

Graduate How Can We Quantify the Concept of 'Sameness' in Mathematics?

  • jeffery_winkle
  • · Replies 1 ·
Replies
1

Working with Piecewise Functions

  • Enzipino
  • · Replies 1 ·
Replies
1

Graduate Solve Gamelin's XIII.3 15: Infinite Product Meromorphicity

  • xiavatar
  • · Replies 8 ·
Replies
8
Replies
1

Uniform convergence of a complex power series on a compact set

  • kalish1
  • · Replies 1 ·
Replies
1

Graduate Understanding the Euler Formula and its Application in Complex Analysis

  • EternusVia
  • · Replies 8 ·
Replies
8

Mobius transformation satisfying certain properties

  • kalish1
  • · Replies 1 ·
Replies
1

Graduate How can I evaluate this infinite exponential series using a method I can learn?

  • ShayanJ
  • · Replies 1 ·
Replies
1

Uniform Continuity and Cauchy Sequences

  • Enzipino
  • · Replies 7 ·
Replies
7

Graduate Name of a concept in math analysis in English

  • nuuskur
  • · Replies 2 ·
Replies
2

Graduate What is measure of numbers with certain property on [0,1]

  • dimitri151
  • · Replies 4 ·
Replies
4