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Surface-Knots in 4-Space (Record no. 427151)

000 -LEADER
fixed length control field	03407nam a22005055i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number	9789811040917
--	978-981-10-4091-7
024 7# -
--	10.1007/978-981-10-4091-7
--	doi
040 ## -
--	ISI Library, Kolkata
050 #4 -
--	QA440-699
072 #7 -
--	PBM
--	bicssc
072 #7 -
--	MAT012000
--	bisacsh
072 #7 -
--	PBM
--	thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number	516
Edition number	23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Kamada, Seiichi.
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title	Surface-Knots in 4-Space
Medium	[electronic resource] :
Remainder of title	An Introduction /
Statement of responsibility, etc	by Seiichi Kamada.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type	E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
--	author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture	Singapore :
Name of producer, publisher, distributor, manufacturer	Springer Singapore :
--	Imprint: Springer,
Date of production, publication, distribution, manufacture	2017.
300 ## -
--	XI, 212 p. 146 illus.
--	online resource.
336 ## - CONTENT TYPE
Content Type Term	text
Content Type Code	txt
Source	rdacontent
337 ## - MEDIA TYPE
Media Type Term	computer
Media Type Code	c
Source	rdamedia
338 ## - CARRIER TYPE
Carrier Type Term	online resource
Carrier Type Code	cr
Source	rdacarrier
347 ## -
--	text file
--	PDF
--	rda
490 1# -
--	Springer Monographs in Mathematics,
--	1439-7382
505 0# -
--	1 Surface-knots -- 2 Knots -- 3 Motion pictures -- 4 Surface diagrams -- 5 Handle surgery and ribbon surface-knots -- 6 Spinning construction -- 7 Knot concordance -- 8 Quandles -- 9 Quandle homology groups and invariants -- 10 2-Dimensional braids -- Bibliography -- Epilogue -- Index.
520 ## -
--	This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field. Knot theory is one of the most active research fields in modern mathematics. Knots and links are closed curves (one-dimensional manifolds) in Euclidean 3-space, and they are related to braids and 3-manifolds. These notions are generalized into higher dimensions. Surface-knots or surface-links are closed surfaces (two-dimensional manifolds) in Euclidean 4-space, which are related to two-dimensional braids and 4-manifolds. Surface-knot theory treats not only closed surfaces but also surfaces with boundaries in 4-manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3-sphere and the interval. Included in this book are basics of surface-knots and the related topics of classical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surface-knots, spinning construction, knot concordance and 4-genus, quandles and their homology theory, and two-dimensional braids.
650 #0 -
--	Geometry.
650 #0 -
--	Algebraic topology.
650 #0 -
--	Cell aggregation
--	Mathematics.
650 14 -
--	Geometry.
--	http://scigraph.springernature.com/things/product-market-codes/M21006
650 24 -
--	Algebraic Topology.
--	http://scigraph.springernature.com/things/product-market-codes/M28019
650 24 -
--	Manifolds and Cell Complexes (incl. Diff.Topology).
--	http://scigraph.springernature.com/things/product-market-codes/M28027
710 2# -
--	SpringerLink (Online service)
773 0# -
--	Springer eBooks
776 08 -
--	Printed edition:
--	9789811040900
776 08 -
--	Printed edition:
--	9789811040924
830 #0 -
--	Springer Monographs in Mathematics,
--	1439-7382
856 40 -
--	https://doi.org/10.1007/978-981-10-4091-7
912 ## -
--	ZDB-2-SMA
950 ## -
--	Mathematics and Statistics (Springer-11649)

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Surface-Knots in 4-Space (Record no. 427151)