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Fairly general properties
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MSC 2010
broader concept
General topology
narrower concept
Connected and locally connected spaces (general aspects)
Lower separation axioms (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$T_0$"><mml:msub><mml:mi>T</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>–<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$T_3$"><mml:msub><mml:mi>T</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>, etc.)
Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
Noncompact covering properties (paracompact, Lindelöf, etc.)
``<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ P$"><mml:mi>P</mml:mi></mml:math>-minimal'' and ``<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ P$"><mml:mi>P</mml:mi></mml:math>-closed'' spaces
Compactness
Extensions of spaces (compactifications, supercompactifications, completions, etc.)
Remainders
Local compactness, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\sigma$"><mml:mi>σ</mml:mi></mml:math>-compactness
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ k$"><mml:mi>k</mml:mi></mml:math>-spaces
Sequential spaces
Realcompactness and realcompactification
Separability
Base properties
Special constructions of spaces (spaces of ultrafilters, etc.)
None of the above, but in MSC2010 section 54Dxx
skos:prefLabel
Fairly general properties
Proprietá abbastanza generali
一般性质
skos:exactMatch
http://msc2010.org/resources/MSC/1991/54Dxx
http://msc2010.org/resources/MSC/2000/54Dxx
http://msc2010.org...sc2010#matchDewey
http://dewey.info/class/514/2009/08/
skos:notation
54Dxx
is
broader concept
of
Connected and locally connected spaces (general aspects)
Lower separation axioms (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$T_0$"><mml:msub><mml:mi>T</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>–<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$T_3$"><mml:msub><mml:mi>T</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>, etc.)
Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
Noncompact covering properties (paracompact, Lindelöf, etc.)
``<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ P$"><mml:mi>P</mml:mi></mml:math>-minimal'' and ``<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ P$"><mml:mi>P</mml:mi></mml:math>-closed'' spaces
Compactness
Extensions of spaces (compactifications, supercompactifications, completions, etc.)
Remainders
Local compactness, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\sigma$"><mml:mi>σ</mml:mi></mml:math>-compactness
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ k$"><mml:mi>k</mml:mi></mml:math>-spaces
Sequential spaces
Realcompactness and realcompactification
Separability
Base properties
Special constructions of spaces (spaces of ultrafilters, etc.)
None of the above, but in MSC2010 section 54Dxx
is
narrower concept
of
General topology
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