Notes

notes

• n-connected
• overconnected
• upconnected

generalities

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TJ4-4WY0X8B-1H&_user=10&_coverDate=12%2F15%2F2009&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1595996945&_rerunOrigin=google&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=418f0f1e4e899e6788c3f
http://atlas-conferences.com/c/b/a/u/08.htm1f68c58f9d4&searchtype=a
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1K-3SNN43X-C&_user=10&_coverDate=01%2F28%2F1997&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1595999835&_rerunOrigin=scholar.google&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=fa4250ecc84dd2d3c83ca7500c2edb9e&searchtype=a

connectedness

• infraconnected
  http://ebooks.worldscinet.com/ISBN/9789812775603/9789812775603_0008.html
  http://ebooks.worldscinet.com/ISBN/9789812775603/9789812775603_0017.html
  http://jlms.oxfordjournals.org/content/s2-42/1/137.short
  http://jlms.oxfordjournals.org/content/s2-42/1/137.full.pdf
  http://books.google.co.jp/books?id=DH0M-SLqKQAC&pg=PA45&lpg=PA45&dq=%22infraconnected%22&source=bl&ots=GYBLjCxWbq&sig=jx4Hh1VV5YHfNW46H75eYnDg4H4&hl=ja&ei=rSUjTfuiEMfMcK7GwLUM&sa=X&oi=book_result&ct=result&resnum=7&ved=0CE0Q6AEwBg#v=onepage&q=%22infraconnected%22&f=false
  http://books.google.co.jp/books?id=vRkDaarpaScC&pg=PA11&lpg=PA11&dq=%22infraconnected%22&source=bl&ots=FPzhbA4zuA&sig=QWpE06-5idT1XBMn5xvtop5BiNk&hl=ja&ei=rSUjTfuiEMfMcK7GwLUM&sa=X&oi=book_result&ct=result&resnum=8&ved=0CFAQ6AEwBw#v=onepage&q=%22infraconnected%22&f=false
  http://www.raco.cat/index.php/CollectaneaMathematica/article/viewFile/56926/66745
  http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6VJN-4D5NW52-66&_user=10&_coverDate=12%2F31%2F1990&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1595962373&_rerunOrigin=google&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=9c11865b1090a01055ab4b9c95a050a0&searchtype=a
  http://books.google.co.jp/books?id=H6sq_x2-DgoC&pg=PA339&lpg=PA339&dq=%22infraconnected%22&source=bl&ots=tlRvyHt-hw&sig=XIG1aHLS8wrQ3YmXTZSVJrmIwnM&hl=ja&ei=XSYjTdvLO8HBcbq3wNcK&sa=X&oi=book_result&ct=result&resnum=3&ved=0CCwQ6AEwAjgK#v=onepage&q=%22infraconnected%22&f=false
  http://journals.cambridge.org/download.php?file=%2FGMJ%2FGMJ33_02%2FS001708950000817Xa.pdf&code=87a40aa6f2390e0dd563057d88374391
  http://www.springerlink.com/content/m54101k2q78r7751/
  http://www.crcnetbase.com/doi/abs/10.1201/9780203903889.ch5
  http://arxiv.org/PS_cache/math/pdf/0503/0503720v1.pdf
• superconnected
  http://www.youtube.com/watch?v=FYDKZDSADDs
  http://www.math.bas.bg/serdica/1994/1994-345-350.pdf
  http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_2/20005a1b_873.pdf
• hyperconnected
  http://planetmath.org/encyclopedia/HyperconnectedSpace.html
  http://en.wikipedia.org/wiki/Hyperconnected_space
  http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_2/20005a79_1180.pdf
  http://www.springerlink.com/content/m4160w5p39641767/
  http://www.domainsmoon.com/vk/reprints/hyper.rtf
  http://www.fos.ut.ac.ir/college/Portals/109/pub/paper/11-20/18.%20On%20orbit%20spaces%20in%20transformation%20groups%20with%20a%20connected%20phase%20space.pdf
• ultraconnected
  http://www.domainsmoon.com/vk/reprints/ultra.rtf
  http://www.kurims.kyoto-u.ac.jp/EMIS/journals/IJMMS/13/2349.pdf
  http://downloads.hindawi.com/journals/ijmms/1990/497057.pdf
  http://planetmath.org/encyclopedia/UltraconnectedSpace.html
  http://en.wikipedia.org/wiki/Ultraconnected_space
• strongly connected
  http://www.jstor.org/pss/2315958
• subconnected
  http://148.206.53.231/tesiuami/uamr0112.pdf
  http://books.google.co.jp/books?id=IngRQY3_f68C&pg=PA443&lpg=PA443&dq=%22subconnected%22+space&source=bl&ots=GAGZbUU4vn&sig=uFQrWXsFVJAKL8alGX4Oeuhsyyo&hl=ja&ei=nSsjTfT0DI_BccqjvK0K&sa=X&oi=book_result&ct=result&resnum=10&ved=0CFwQ6AEwCQ#v=onepage&q=%22subconnected%22%20space&f=false
  http://www.nsc.ru/EMIS/journals/CMUC/pdf/cmuc9604/tkauswil.pdf
• hypoconnected
  http://ir.lib.sfu.ca/bitstream/1892/5162/1/b14086475.pdf

disconnectedness

• totally disconnected
  http://en.wikipedia.org/wiki/Totally_disconnected_space
  • \mathbb{Q}_p
  • Knaster–Kuratowski fan
  • Erdős space
• extremally disconnected
  http://en.wikipedia.org/wiki/Extremally_disconnected_space
  • absolute
  • Stonean space

others

• weaker connected topology(?)
  http://emis.matem.unam.mx/journals/CMUC/pdf/cmuc9902/delaney.pdf
  http://www.auburn.edu/~gruengf/papers/weaker.pdf
• uniformly connected
  http://en.wikipedia.org/wiki/Uniformly_connected_space
  http://www.emis.de/journals/HOA/IJMMS/12/3435.pdf
• sequentially connected
  http://arxiv.org/abs/1105.2203