A geometric approach to homology theory /
Buoncristiano, S.
A geometric approach to homology theory / by S. Buoncristiano, C.P. Rourke, and B.J. Sanderson. - Cambridge [England] ; New York : Cambridge University Press, ©1976. - 1 online resource (149 pages) : illustrations - London Mathematical Society lecture note series ; 18 . - London Mathematical Society lecture note series ; 18. .
Spine title: Homology theory.
Includes bibliographical references.
The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology especially homology theory as it reaches the frontiers of current research in the topic. The book is also suitable for use as a graduate course in homology theory.
English.
9781107087101 (electronic bk.) 1107087104 (electronic bk.) 9780511662669 (electronic bk.) 0511662661 (electronic bk.) 1139883674 9781139883672 1107102022 9781107102026 1107093309 9781107093300
Homology theory.
Cobordism theory.
Homologie.
Théorie des cobordismes.
MATHEMATICS--Topology.
Cobordism theory.
Homology theory.
Homologie
Homologietheorie
Homologia.
Electronic books.
QA611 / .B85 1976eb
514/.23
A geometric approach to homology theory / by S. Buoncristiano, C.P. Rourke, and B.J. Sanderson. - Cambridge [England] ; New York : Cambridge University Press, ©1976. - 1 online resource (149 pages) : illustrations - London Mathematical Society lecture note series ; 18 . - London Mathematical Society lecture note series ; 18. .
Spine title: Homology theory.
Includes bibliographical references.
The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology especially homology theory as it reaches the frontiers of current research in the topic. The book is also suitable for use as a graduate course in homology theory.
English.
9781107087101 (electronic bk.) 1107087104 (electronic bk.) 9780511662669 (electronic bk.) 0511662661 (electronic bk.) 1139883674 9781139883672 1107102022 9781107102026 1107093309 9781107093300
Homology theory.
Cobordism theory.
Homologie.
Théorie des cobordismes.
MATHEMATICS--Topology.
Cobordism theory.
Homology theory.
Homologie
Homologietheorie
Homologia.
Electronic books.
QA611 / .B85 1976eb
514/.23