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 books.google.com Dyck Path A LATTICE PATH from (0.0) to (n, n) which never crosses (but may
touch) the line y = x. There are C = 1 /tt « + ... 542, 1953. Dyck's Surface The
surface with three CROSSCAPS (Francis and Collins 1993, Francis and Weeks
1999). 

 books.google.com CHAPTER 17 was due to Dyck in 1888.9 However this was still before the
modern definitions of surface and homeomorphism. The first truly rigorous proof
of the classification theorem is due to Max Dehn (1878–1952) and Poul
Heegaard ... 

 books.google.com ... 279 de Sitter, 282 Dodecahedral spaces, 219–224 Double cross surface, 375
Double disk method, 201–205 Double lune, 139–141 Double torus, 374
Doughnut surface, 9, 30 with cusp, 43–44 Dyck's surface, 375 Dyck's Theorem,
372–373 ... 

 books.google.com Knots. 8.1. GENERAL SURFACE METRICS A surface is a real twodimensional
manifold M2, i.e., a Hausdorff space, each point of which has a ... it is called real
projective plane, Klein bottle, and Dyck's surface for g = 1,2 and 3, respectively. 

 books.google.com A surface is a real twodimensional manifold M2, i.e., a Hausdorff space, each
point of which has a neighborhood ... surface is nonorientable; it is called the real
projective plane, Klein bottle, and Dyck's surface for g = 1,2 and 3, respectively. 

 books.google.com A compact orientable surface is called closed if it has no boundary, and it is
called a surface with boundary, otherwise. ... the surface is nonorientable; it is
called the real projective plane, Klein bottle, and Dyck's surface for g D 1; 2 and 3
, ... 

 books.google.com John Stillwell. 1.2.4 Dyck's Classification of Nonorientable Surfaces Dyck 1888
gave a classification of nonorientable surfaces analogous to the classification of
orientable surfaces, in which crosscaps take the place of handles. His proof is not
... 

 books.google.com When the helpers had built up the figures and surrounding as far as they could
there would be another sitting during which Van Dyck finished the head and
hands; then he would go over the entire surface of the portrait and impart to it the
... 

 books.google.com Morin and Apery [1] introduced the double locus surface A' because of the
connection between events in the ... sum of a torus with a cross cap, or, by Dyck's
theorem [10, p.l0lf], a sphere with 3 cross caps, which we call Dyck's surface [11].
Fig. 

 books.google.com Thus the extruded double locus of the minimax eversion is a Dyck's surface, a
toruswithacrosscap [9, p. 101]. This is not the 'simplest' possible such double
locus extrusion, according to Apery and Morin. They construct [1] an eversion ... 

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