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A Survey of Megaliths and Mark Stones - Past and Present: This
guide to old stones in the Cotswolds and Forest of Dean is designed
for the curious, the megalith hunter, walker and antiquary alike.
It shows the stones' locations, history, folklore and legend.
The Hauptvermutung is the conjecture that any two triangulations of
a poly hedron are combinatorially equivalent. The conjecture was
formulated at the turn of the century, and until its resolution was
a central problem of topology. Initially, it was verified for
low-dimensional polyhedra, and it might have been expected that
furt her development of high-dimensional topology would lead to a
verification in all dimensions. However, in 1961 Milnor constructed
high-dimensional polyhedra with combinatorially inequivalent
triangulations, disproving the Hauptvermutung in general. These
polyhedra were not manifolds, leaving open the Hauptvermu tung for
manifolds. The development of surgery theory led to the disproof of
the high-dimensional manifold Hauptvermutung in the late 1960's.
Unfortunately, the published record of the manifold Hauptvermutung
has been incomplete, as was forcefully pointed out by Novikov in
his lecture at the Browder 60th birthday conference held at
Princeton in March 1994. This volume brings together the original
1967 papers of Casson and Sulli van, and the 1968/1972 'Princeton
notes on the Hauptvermutung' of Armstrong, Rourke and Cooke, making
this work physically accessible. These papers include several other
results which have become part of the folklore but of which proofs
have never been published. My own contribution is intended to serve
as an intro duction to the Hauptvermutung, and also to give an
account of some more recent developments in the area. In preparing
the original papers for publication, only minimal changes of
punctuation etc."
Many ancient peoples built their sacred sites in dead straight
lines. The magical paths involved astronomy and geomancy, and were
used for spirit flight both by the living as they slept or
travelled in shamanic trance, and by spirits of the dead, both
recently and long deceased. Danny Sullivan was editor of the
renowned Ley Hunter magazine. Here he introduces the complex
subject of Ley lines, giving examples from around the world,
including many from the British Isles, where this psychic science
has been practiced by wizards for a very long time. WOODEN BOOKS
are small but packed with information. "Fascinating" FINANCIAL
TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE
LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW
SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.
The Hauptvermutung is the conjecture that any two triangulations of
a poly hedron are combinatorially equivalent. The conjecture was
formulated at the turn of the century, and until its resolution was
a central problem of topology. Initially, it was verified for
low-dimensional polyhedra, and it might have been expected that
furt her development of high-dimensional topology would lead to a
verification in all dimensions. However, in 1961 Milnor constructed
high-dimensional polyhedra with combinatorially inequivalent
triangulations, disproving the Hauptvermutung in general. These
polyhedra were not manifolds, leaving open the Hauptvermu tung for
manifolds. The development of surgery theory led to the disproof of
the high-dimensional manifold Hauptvermutung in the late 1960's.
Unfortunately, the published record of the manifold Hauptvermutung
has been incomplete, as was forcefully pointed out by Novikov in
his lecture at the Browder 60th birthday conference held at
Princeton in March 1994. This volume brings together the original
1967 papers of Casson and Sulli van, and the 1968/1972 'Princeton
notes on the Hauptvermutung' of Armstrong, Rourke and Cooke, making
this work physically accessible. These papers include several other
results which have become part of the folklore but of which proofs
have never been published. My own contribution is intended to serve
as an intro duction to the Hauptvermutung, and also to give an
account of some more recent developments in the area. In preparing
the original papers for publication, only minimal changes of
punctuation etc."
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