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1
Perspectives in Representation Theory:
L1,0 :A1 ↓U1U0,1→ A0 ↓U0U0,1 Further the contractibly supply us with a
homotopy: H : A0 ↓U0U0,1→ AΔ10 ↓U0U0,1 between the identity map and L1,
0 ◦ K 0,1 Thus we get a commutative diagram A0 ↑XU0 K 0,1 A1 ↓U1U0,1 A1 ↑
XU1 ...
Pavel Etingof, Mikhail Khovanov, Alistair Savage, 2014
2
Official Gazette of the United States Patent Office
... surface against which said lip is deformed, the ring having a radius greater
than that of said mouth and normally abutting the coupling mouth and contractibly
receivable within the mouth; and nut means engageable on said body abutting
the ...
United States. Patent Office, 1966
3
The London Medical and Physical Journal
The blood-vessels are numerous, and, for the most part, distended with blood,
even so much distended that, losing contractibly, they appear gorged -so as to
exhibit an appearance of gangrene at various points, more frequently near the
falx ...
4
Differential Information Economies
... relation ⇀i on Ω by: ω1 ⇀i ω2 if and only if ω2 ∈ E−i(ω1) So the relations ⇀i
define states which may be contractibly indistinguishable, since agent i can
report Ei(ω2) when her information is Ei (ω1), and escape detection at least
sometimes.
Dionysius Glycopantis, Nicholas Yannelis, 2006
5
Graph Colouring and Variations
The theorem of Greenwell and Lovdsz A graph G is called contractibly r-
colourable if G itself and all graphs G/e, e E E(G), are r-colourable. Put, for r 2 1,
Con(r) := {H I H E Col(r) & H/e E Col(r) for every edge e E E(H)}. Note that Col(r -
1) c ...
D. de Werra, A. Hertz, 1989
6
Knotted Surfaces and Their Diagrams
[Law2] Lawrence, Ruth, On algebras and triangle relations, in Topological and
Geometric Methods in Field Theory, eds. J. Mickelsson and O. Pekonen, World
Scientific (1992), 429-447. [Lee] Lee, Youn W., Contractibly embedded 2-spheres
in ...
J. Scott Carter, Masahico Saito
Lee, Y. W. (1982) Contractibly embedded 2-spheres in S2 x S2, Proc. Amer. Math
. Soc., 85: 280- 282. (1989) On normal torsion free finite index subgroups of
polyhedral groups, Topology Appl., 32: 25-47. Legrand, C. ; Wang, S. ; Zieschang
, ...
8
Visions in Mathematics: GAFA 2000 Special Volume, Part I pp. ...
... W passing through a given point w G W that contractibly projects to W. (This
remains valid for irrational curves S if the Teichmiiller space of S is incorporated
into W .) Another link between "tame" and "hyperbolic" is expressed by the
following ...
Noga Alon, Jean Bourgain, Alain Connes, 2011
9
Braid and Knot Theory in Dimension Four
Helv. 65(1990) 388-412 [461] R. Lee and D. M. Wilczyriski, Locally flat 2-spheres
in simply connected 4-manifolds, Comment. Math. Helv. 67(1992) 334-335 [462]
Y. W. Lee, Contractibly embedded 2-spheres in S2 x 52, Proc. Amer. Math. Soc.
10
The Medical and Physical Journal
The blood-vessels are numerous, and, for the most part, distended with blood,
even so much distended that, losing contractibly, they appear gorged so as to
exhibit an appearance of gangrene at various points, more frequently near the
falx ...
