Connected space Path-connected space
Connected space# QUERY1bbe6dcc54fe323ab081f69041db1b78
Connected space# QUERY3d1dcb921bdec1d85e66aae4e202c777
Connected space Simply connected space
Connected space# QUERY95328eefbf6da5fc6297c154756ab79c
Connected space# QUERY4ccf2490399936febcef16b437ebc879
Connected space Contractible space
Connected space# QUERY97e8f8d5e1d0f90ec9984e53922ed722
Connected space# QUERY833f4694879b31aad952f2e0cedc6b44
Connected space Irreducible space
Connected space# QUERYcf8e68e9b7f0633310d518c754ac81d6
Connected space# QUERY0d1fd9fbfe78c34e8c8e3187c8ad35e2
Connected space Ultraconnected space
Connected space# QUERYab4633c90a2fddec65cbde8a490370ef
Connected space# QUERY672bdeb5b1402e98746d94fb795580e1
Space with finitely many connected components Connected space
Connected space# QUERY2a92b738476686d0078d421ffd3cac34
Connected space# QUERYa1752d08905bc6deed94d36382c934ee
Space with finitely many quasicomponents Connected space
Connected space# QUERYe5a87138519dc76d3f8a42c359b339dd
Connected space# QUERY8f05ef8ef2e7847885cd025bbacd2962
Space in which all connected components are open Connected space
Connected space# QUERY4016df2363acc5572055dc5a0bbd44fd
Connected space# QUERYb21dea8d1e968be671d2685ded52395c
Space in which the connected components coincide with the quasicomponents Connected space
Connected space# QUERY3a3764fa635bebb7b4ab1937228d16dd
Connected space# QUERYb3fb25e6a7b00b60a709915fe49e622a
Product of real projective plane and circle
Product of 2-sphere and real projective plane
Space with finitely many connected components
Space in which all connected components are open
Space in which the connected components coincide with the quasicomponents
Connectedness is product-closed#Connected space;1# a38a971fb8fb397c20c119b5f71be65b
Connectedness is continuous image-closed#Connected space;1# a38a971fb8fb397c20c119b5f71be65b
Connected not implies path-connected#Connected space# f384efe600eac9e47e0210492e16eac7
Connected not implies locally connected#Connected space# f384efe600eac9e47e0210492e16eac7
Path-connected implies connected#Connected space;2# 0c24f04476010f89a7662b636a82fa85
Irreducible implies connected#Connected space;2# 0c24f04476010f89a7662b636a82fa85
Connectedness is connected union-closed#Connected space;1# a38a971fb8fb397c20c119b5f71be65b
Connectedness is closure-preserved#Connected space;1# a38a971fb8fb397c20c119b5f71be65b
Connectedness is not box product-closed#Connected space;1# a38a971fb8fb397c20c119b5f71be65b
Connected and T1 with at least two points implies infinite#Connected space;2# 0c24f04476010f89a7662b636a82fa85
Connectedness is not hereditary#Connected space;1# a38a971fb8fb397c20c119b5f71be65b
Connectedness is not weakly hereditary#Connected space;1# a38a971fb8fb397c20c119b5f71be65b
Locally compact and connected with more than one point implies resolvable