- mathematics,
particularly in the
subfield of real
analytic geometry, a
subanalytic set is a set of
points (for
example in
Euclidean space)
defined in a...
- same dimension. Łojasiewicz
inequality Existential theory of the
reals Subanalytic set
Piecewise algebraic space Bochnak, J.; Coste, M.; Roy, M.-F. (1998)...
-
subanalytic space. (However,
under mild point-set
topology hypotheses, it
turns out that
subanalytic spaces are
essentially equivalent to
subanalytic...
- Tzee-Char Kuo had
previously shown implied the
Whitney conditions for
subanalytic sets (such as real or
complex analytic varieties).
Verdier called the...
-
including algebraic varieties,
analytic varieties,
semialgebraic sets, and
subanalytic sets. CW-complexes A CW
complex is a
topological space formed by gluing...
- {A}}} is
dense in C ( X , R ) {\displaystyle C(X,\mathbb {R} )} .
subanalytic subanalytic.
subharmonic A
twice continuously differentiable function f {\displaystyle...
- 1090/S0894-0347-96-00216-0. Denef, J.; van den Dries, L. (1989). "p-adic and real
subanalytic sets".
Annals of Mathematics. 128 (1): 79–138. doi:10.2307/1971463. JSTOR 1971463...
-
Whitney stratifications, such as
semialgebraic sets (due to René Thom) and
subanalytic sets (due to
Heisuke Hironaka). This has led to
their use in engineering...
- . Bierstone, Edward; Milman,
Pierre D. (1988), "Semianalytic and
subanalytic sets",
Publications Mathématiques de l'IHÉS, 67 (67): 5–42, doi:10.1007/BF02699126...
-
implement it on a computer. 1973 Jean-Louis
Verdier proved that
every subanalytic set
admits a
stratification with
condition (w). 1979
Michel Coste and...
