Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Metric space
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== {{refbegin}} *{{citation | last1 = Aldrovandi | first1 = Ruben | last2 = Pereira | first2 = José Geraldo | edition = 2nd | isbn = 978-981-3146-81-5 | location = Hackensack, New Jersey | mr = 3561561 | page = 20 | publisher = World Scientific | title = An Introduction to Geometrical Physics | url = https://books.google.com/books?id=NWhtDQAAQBAJ&pg=PA20 | year = 2017}} *{{citation | last1 = Arkhangel'skii | first1 = A. V. | author1-link = Alexander Arhangelskii | last2 = Pontryagin | first2 = L. S. | author2-link = Lev Pontryagin | isbn = 3-540-18178-4 | publisher = [[Springer Science+Business Media|Springer]] | series = Encyclopaedia of Mathematical Sciences | title = General Topology I: Basic Concepts and Constructions Dimension Theory | year = 1990}} * {{cite book |last1=Bryant |first1=Victor |title=Metric spaces: Iteration and application |date=1985 |publisher=Cambridge University Press |isbn=0-521-31897-1}} *{{citation | last1 = Buldygin | first1 = V. V. | last2 = Kozachenko | first2 = Yu. V. | doi = 10.1090/mmono/188 | isbn = 0-8218-0533-9 | mr = 1743716 | page = 129 | publisher = American Mathematical Society | location = Providence, Rhode Island | series = Translations of Mathematical Monographs | title = Metric Characterization of Random Variables and Random Processes | url = https://books.google.com/books?id=ePDXvIhdEjoC&pg=PA129 | volume = 188 | year = 2000| url-access = subscription }} * {{cite book |last1=Burago |first1=Dmitri |author-link1=Dmitri Burago |last2=Burago |first2=Yuri |author-link2=Yuri Dmitrievich Burago |last3=Ivanov |first3=Sergei |author-link3=Sergei Ivanov (mathematician) |title=A course in metric geometry |date=2001 |publisher=American Mathematical Society |location=Providence, RI |isbn=0-8218-2129-6}} * {{cite book |last1=Čech |first1=Eduard |author-link1=Eduard Čech |title=Point Sets |date=1969 |publisher=Academic Press |isbn=0121648508}} *{{citation | last1 = Cohen | first1 = Andrew R. | last2 = Vitányi | first2 = Paul M. B. | author2-link = Paul Vitányi | arxiv = 1212.5711 | doi = 10.1109/TPAMI.2014.2375175 | issue = 8 | journal = IEEE Transactions on Pattern Analysis and Machine Intelligence | pages = 1602–1614 | pmc = 4566858 | pmid = 26352998 | title = Normalized compression distance of multisets with applications | volume = 37 | year = 2012}} *{{citation | last1 = Deza | first1 = Michel Marie | author1-link = Michel Deza | last2 = Laurent | first2 = Monique | author2-link = Monique Laurent | doi = 10.1007/978-3-642-04295-9 | isbn = 3-540-61611-X | mr = 1460488 | page = 27 | publisher = Springer-Verlag, Berlin | series = Algorithms and Combinatorics | title = Geometry of Cuts and Metrics | url = https://books.google.com/books?id=XujvCAAAQBAJ&pg=PA27 | volume = 15 | year = 1997}} *{{citation | last1 = Fraigniaud | first1 = P. | last2 = Lebhar | first2 = E. | last3 = Viennot | first3 = L. | citeseerx = 10.1.1.113.6748 | contribution = The inframetric model for the internet | doi = 10.1109/INFOCOM.2008.163 | isbn = 978-1-4244-2026-1 | pages = 1085–1093 | s2cid = 5733968 | title = 2008 IEEE INFOCOM - The 27th Conference on Computer Communications | year = 2008}} * {{cite book |last1=Gromov |first1=Mikhael |author-link1=Mikhael Gromov (mathematician) |title=Metric structures for Riemannian and non-Riemannian spaces |title-link=Metric Structures for Riemannian and Non-Riemannian Spaces |date=2007 |publisher=Birkhäuser |location=Boston |isbn=978-0-8176-4582-3}} * {{cite book |last1=Heinonen |first1=Juha |author-link1=Juha Heinonen |title=Lectures on analysis on metric spaces |date=2001 |publisher=Springer |location=New York |isbn=0-387-95104-0}} * {{cite journal |last1=Heinonen |first1=Juha |author-link1=Juha Heinonen |title=Nonsmooth calculus |journal=Bulletin of the American Mathematical Society |date=24 January 2007 |volume=44 |issue=2 |pages=163–232 |doi=10.1090/S0273-0979-07-01140-8|doi-access=free }} *{{citation | last = Helemskii | first = A. Ya. | doi = 10.1090/mmono/233 | isbn = 978-0-8218-4098-6 | mr = 2248303 | page = 14 | publisher = American Mathematical Society | location = Providence, Rhode Island | series = Translations of Mathematical Monographs | title = Lectures and Exercises on Functional Analysis | url = https://books.google.com/books?id=wjzZCLzx6hUC&pg=PA14 | volume = 233 | year = 2006| doi-access = free }} * {{cite book|first1=Pascal |last1=Hitzler |first2=Anthony |last2=Seda |title=Mathematical Aspects of Logic Programming Semantics|url=https://library.oapen.org/handle/20.500.12657/40111 |date=19 April 2016|publisher=CRC Press|hdl=20.500.12657/40111 |isbn=978-1-4398-2962-2|author1-link=Pascal Hitzler}} * {{cite journal |last1=Lawvere |first1=F. William |title=Metric spaces, generalized logic, and closed categories |journal=Rendiconti del Seminario Matematico e Fisico di Milano |date=December 1973 |volume=43 |issue=1 |pages=135–166 |doi=10.1007/BF02924844|s2cid=1845177 }} * {{cite book |chapter=Office Hour 7. Quasi-isometries |chapter-url=https://books.google.com/books?id=UV3yDQAAQBAJ&pg=PA125 |last1=Margalit |first1=Dan |author-link1=Dan Margalit (mathematician) |last2=Thomas |first2=Anne |title=Office hours with a geometric group theorist |date=2017 |publisher=Princeton University Press |isbn=978-1-4008-8539-8 |pages=125–145|jstor=j.ctt1vwmg8g.11 }} * {{Munkres Topology|edition=2}} * {{Narici Beckenstein Topological Vector Spaces|edition=2|mode=cs2}} * {{cite book |last1=Ó Searcóid |first1=Mícheál |title=Metric spaces |date=2006 |publisher=Springer |location=London |isbn=1-84628-369-8}} * {{cite book |last1=Papadopoulos |first1=Athanase |title=Metric spaces, convexity, and non-positive curvature |date=2014 |publisher=[[European Mathematical Society]] |location=Zürich, Switzerland |isbn=978-3-03719-132-3 |edition=Second}} *{{cite book | last = Rolewicz | first = Stefan | isbn = 90-277-2186-6 | publisher = [[Springer Science+Business Media|Springer]] | title = Functional Analysis and Control Theory: Linear Systems | year = 1987}} * {{Cite book |last=Rudin |first=Walter |author-link=Walter Rudin |title=Principles of Mathematical Analysis |title-link=Principles of Mathematical Analysis |date=1976 |isbn=0-07-054235-X |publisher=McGraw-Hill |edition=Third |location=New York |oclc=1502474}} *{{citation | last = Smyth | first = M. | title = Mathematical Foundations of Programming Language Semantics | editor1-last = Main | editor1-first = M. | editor2-last = Melton | editor2-first = A. | editor3-last = Mislove | editor3-first = M. | editor4-last = Schmidt | editor4-first = D. | contribution = Quasi uniformities: reconciling domains with metric spaces | doi = 10.1007/3-540-19020-1_12 | pages = 236–253 | publisher = Springer-Verlag | series = Lecture Notes in Computer Science | date = 1988 | volume = 298 | isbn = 978-3-540-19020-2 }} *{{cite book | last1 = Steen | first1 = Lynn Arthur | last2 = Seebach | first2 = J. Arthur Jr. | isbn = 978-0-486-68735-3 | mr = 507446 | publisher = [[Dover Publications|Dover]] | title = Counterexamples in Topology | title-link=Counterexamples in Topology | year = 1995 | orig-year = 1978}} *{{cite journal | last = Vitányi | first = Paul M. B. | author-link = Paul Vitányi | arxiv = 0905.3347 | doi = 10.1109/TIT.2011.2110130 | issue = 4 | journal = IEEE Transactions on Information Theory | pages = 2451–2456 | s2cid = 6302496 | title = Information distance in multiples | volume = 57 | year = 2011}} *{{cite journal | last = Väisälä | first = Jussi | doi = 10.1016/j.exmath.2005.01.010 | issue = 3 | journal = Expositiones Mathematicae | mr = 2164775 | pages = 187–231 | title = Gromov hyperbolic spaces | url = http://www.helsinki.fi/~jvaisala/grobok.pdf | volume = 23 | year = 2005| doi-access = free }} *{{cite journal | last = Vickers | first = Steven | issue = 15 | journal = Theory and Applications of Categories | mr = 2182680 | pages = 328–356 | title = Localic completion of generalized metric spaces, I | url = https://www.tac.mta.ca/tac/volumes/14/15/14-15abs.html | volume = 14 | year = 2005}} * {{mathworld|urlname=ProductMetric|title=Product Metric}} *{{cite journal | last = Xia | first = Qinglan | arxiv = 0807.3377 | issue = 2 | journal = Journal of Geometric Analysis | pages = 452–479 | title = The geodesic problem in nearmetric spaces | volume = 19 | year = 2008| doi = 10.1007/s12220-008-9065-4 | s2cid = 17475581 }} *{{cite journal | last = Xia | first = Q. | arxiv = 0807.3377 | s2cid = 17475581 | doi = 10.1007/s12220-008-9065-4 | issue = 2 | journal = Journal of Geometric Analysis | pages = 452–479 | title = The geodesic problem in quasimetric spaces | volume = 19 | year = 2009}} {{refend}}
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Metric space
(section)
Add topic