weaker topology
71Pure mathematics — Broadly speaking, pure mathematics is mathematics motivated entirely for reasons other than application. It is distinguished by its rigour, abstraction and beauty. From the eighteenth century onwards, this was a recognized category of… …
72List of axioms — This is a list of axioms as that term is understood in mathematics, by Wikipedia page. In epistemology, the word axiom is understood differently; see axiom and self evidence. Individual axioms are almost always part of a larger axiomatic… …
73Sequence space — In functional analysis and related areas of mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers. Equivalently, it is a function space whose elements are functions from the natural… …
74Nakayama lemma — In mathematics, more specifically modern algebra and commutative algebra, Nakayama s lemma also known as the Krull–Azumaya theorem[1] governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely… …
75A∞-operad — In the theory of operads in algebra and algebraic topology, an A∞ operad is a parameter space for a multiplication map that is associative up to all higher homotopies, but not necessarily commutative. (An operad that describes a multiplication… …
76E∞-operad — In the theory of operads in algebra and algebraic topology, an E∞ operad is a parameter space for a multiplication map that is associative and commutative up to all higher homotopies. (An operad that describes a multiplication that is associative …
77Perfect map — In mathematics, particularly topology, a perfect map is a map which preserves inverse like properties. Just as the continuous image of a connected space is always connected, if the perfect image (image under a perfect map) of a certain space X is …
78Axiom of countable choice — The axiom of countable choice or axiom of denumerable choice, denoted ACω, is an axiom of set theory, similar to the axiom of choice. It states that any countable collection of non empty sets must have a choice function. Spelled out, this means… …
79Mathematics of radio engineering — A complex valued function. The mathematics of radio engineering is a pleasant and very useful subject. This article is an attempt to provide a reasonably comprehensive summary of this almost limitless topic. While the ideas have historically… …
80Cauchy sequence — In mathematics, a Cauchy sequence, named after Augustin Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses. To be more precise, by dropping enough (but still only a finite number of) terms from… …
