- A
neighbourhood basis or
local basis (or
neighbourhood base or
local base) for a
point x {\displaystyle x} is a
filter base of the
neighbourhood filter;...
-
continuous surjection satisfying a
local triviality condition outlined below. The
space B {\displaystyle B} is
called the
base space of the bundle, E {\displaystyle...
- Morón Air
Base (IATA: OZP, ICAO: LEMO) is
located at 37°10′N 5°36′W / 37.167°N 5.600°W / 37.167; -5.600 in
southern Spain,
approximately 35
miles (56 km)...
-
countable subcover.
Local base A set B of
neighbourhoods of a
point x of a
space X is a
local base (or
local basis,
neighbourhood base,
neighbourhood basis)...
- ISBN 978-0-11-691655-6.{{cite book}}: CS1 maint:
others (link) "1991
census -
local base statistics -
Nomis -
Official Census and
Labour Market Statistics". www...
-
point has a
countable local base.
Given a
base for a
topology and a
point x, the set of all
basis sets
containing x
forms a
local base at x. Thus, if one...
- In mathematics, a
base (or basis; pl.: bases) for the
topology τ of a
topological space (X, τ) is a
family B {\displaystyle {\mathcal {B}}} of open subsets...
- first-countable if
every point has a
countable local base. Second-countable. A
space is second-countable if it has a
countable base for its topology. Second-countable...
- be first-countable if each
point has a
countable neighbourhood basis (
local base). That is, for each
point x {\displaystyle x} in X {\displaystyle X} there...
-
local base of
relatively compact neighbourhoods. 3.
every point of X has a
local base of
compact neighbourhoods. 4.
every point of X has a
local base...