Newbetuts
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New posts in order-theory
Any good decomposition theorems for total orders?
set-theory
order-theory
Every increasing function from a certain set to itself has at least one fixed point
real-analysis
order-theory
fixed-point-theorems
Properties of the cone of positive semidefinite matrices
matrices
order-theory
lattice-orders
positive-semidefinite
vector-lattices
Simplest Example of a Poset that is not a Lattice
elementary-set-theory
examples-counterexamples
order-theory
lattice-orders
$\mathbb{Z}\rtimes\mathbb{Z}$ is left-orderable but not right-orderable.
group-theory
order-theory
Is there any well-ordered uncountable set of real numbers under the original ordering?
set-theory
order-theory
What is the order-type of the set of natural numbers, when written in alphabetical order?
elementary-number-theory
elementary-set-theory
logic
order-theory
puzzle
Is the set of real numbers the largest possible totally ordered set?
real-analysis
order-theory
What is the difference between max and sup?
dynamical-systems
order-theory
Does Birkhoff - von Neumann imply any of the fundamental theorems in combinatorics?
combinatorics
graph-theory
order-theory
birkhoff-polytopes
Function classes on posets, which are closed under certain operations
order-theory
lattice-orders
optimal-control
fixed-points
Infimum and supremum of the empty set
real-analysis
order-theory
Infinum & Supremum: An Analysis on Relatedness
real-analysis
elementary-set-theory
proof-writing
order-theory
What ordinals correspond to tuples ordered lexicographically?
logic
set-theory
order-theory
ordinals
Formal proof for A subset of the real numbers, well ordered with the normal order of $\mathbb R$, is at most $\aleph_0$
elementary-set-theory
order-theory
Does ZF set theory prove that every finite set can be linearly ordered? [closed]
set-theory
order-theory
Is this modification of connexity necessary, or redundant in the definition of partial ordering?
elementary-set-theory
logic
definition
relations
order-theory
Countable ordinals are embeddable in the rationals $\Bbb Q$ -- proofs and their use of AC
set-theory
order-theory
axiom-of-choice
ordinals
Without appealing to choice, can we prove that if $X$ is well-orderable, then so too is $2^X$?
set-theory
order-theory
axiom-of-choice
well-orders
A finite set always has a maximum and a minimum.
real-analysis
elementary-set-theory
order-theory
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