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How many ultrafilters there are in an infinite space?
general-topology
proof-explanation
cardinals
filters
Hausdorff spaces from filters
general-topology
descriptive-set-theory
filters
A layman's motivation for non-standard analysis and generalised limits
soft-question
filters
motivation
nonstandard-analysis
A Prime $\mathcal P$-filter is contained in a unique $\mathcal P$-ultrafilter?
general-topology
filters
Ultrafilter Lemma and Alexander subbase theorem
general-topology
set-theory
filters
Every net has an ultranet as subnet: direct proof
general-topology
filters
nets
Ultrafilters and self-injections
set-theory
filters
Simple proof about prime filters.
elementary-set-theory
filters
ultrafilters as linear orders
logic
first-order-logic
order-theory
model-theory
filters
Uniqueness of hyperreals contructed via ultrapowers
real-analysis
model-theory
filters
nonstandard-analysis
Relation between a filter and its complement being an ideal.
general-topology
elementary-set-theory
solution-verification
filters
How can an ultrafilter be considered as a finitely additive measure?
measure-theory
elementary-set-theory
filters
Cauchy filters in metric spaces
general-topology
metric-spaces
filters
Nonisomorphic free ultrafilters on $\omega$
general-topology
set-theory
filters
Injective function and ultrafilters
logic
set-theory
filters
Sum and product of ultrafilters
logic
set-theory
filters
every non-principal ultrafilter contains a cofinite filter.
general-topology
filters
Why were filters and nets in topology named filters and nets?
general-topology
soft-question
terminology
filters
nets
Lemma 2.20 of Kunen
set-theory
order-theory
filters
forcing
Can you get a non-principal ultrafilter on N using Choice but 'avoiding' Zorn's Lemma?
elementary-set-theory
alternative-proof
axiom-of-choice
filters
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