New posts in fixed-points

Does there exist a continuous partition of the sphere into sets of cardinality 4?

algebraic-topology fixed-point-theorems set-partition fixed-points

Attracting fixed point of $f$ if and only if repelling fixed point of $f^{-1}$

general-topology dynamical-systems fixed-points

Is there any noncompact manifold with the fixed point property?

manifolds differential-topology smooth-manifolds fixed-point-theorems fixed-points

How to compute Dottie number accurately?

trigonometry numerical-methods fixed-points

How to find examples of periodic points of the (complex) exponential-function $z \to \exp(z)$?

exponential-function fixed-point-theorems tetration fixed-points

recursive sequence with continuous function

real-analysis sequences-and-series continuity fixed-points

Prob. 7 (b), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A shrinking self-map of a compact metric space has a unique fixed point

general-topology metric-spaces compactness fixed-point-theorems fixed-points

Showing that an involution of the projective line with a fixed point fixes exactly two points

projective-geometry projective-space fixed-points involutions

$f$ is a fixed-point of $h$. $\Theta h$ is also a fixed-point of $h$. Can we conclude that $f$ equals $\Theta h$?

lambda-calculus fixed-points

In lambda calculus, how many fixed-point combinators are there? [closed]

lambda-calculus fixed-points

Lambda Calculus functions that are fixed-points of themselves

lambda-calculus fixed-points

Why does the fixed point theorem justify the existence of the factorial function?

computer-science computability fixed-point-theorems fixed-points

Integral Representation of the Dottie Number

trigonometry definite-integrals constants fixed-points

Contraction Map on Compact Normed Space has a Fixed Point

compactness normed-spaces fixed-point-theorems fixed-points

Fixed Points Set of an Isometry

riemannian-geometry isometry fixed-points submanifold

Number of points in line segment

geometry euclidean-geometry fixed-points

Convergence of fixed points of a sequence uniformly convergent.

general-topology metric-spaces fixed-point-theorems complete-spaces fixed-points

Function classes on posets, which are closed under certain operations

order-theory lattice-orders optimal-control fixed-points

Idempotency and Fixed-point combinators

functions lambda-calculus fixed-points idempotents

Missing parentheses in $s(k (s I I))(s(\lambda y. s(k y))(\lambda y. s I I)$ leads to interesting error in “nLab” page. Need a double check.

computer-science lambda-calculus fixed-points combinatory-logic rewriting-systems