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Mathematics Subject Classification – MSC2020

55-XX

Algebraic topology 31254

55Pxx

Homotopy theory {For simple homotopy type, see 57Q10} 10037

55P05

Homotopy extension properties, cofibrations in algebraic topology 306

55P10

Homotopy equivalences in algebraic topology 1176

55P15

Classification of homotopy type 1067

55P20

Eilenberg-Mac Lane spaces 333

55P25

Spanier-Whitehead duality 100

55P30

Eckmann-Hilton duality 83

55P35

Loop spaces 1131

55P40

Suspensions 292

55P42

Stable homotopy theory, spectra 1337

55P43

Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.) 338

55P45

\(H\)-spaces and duals 740

55P47

Infinite loop spaces 328

55P48

Loop space machines and operads in algebraic topology [See also 18Mxx] 403

55P50

String topology 97

55P55

Shape theory [See also 54C56, 55Q07] 840

55P57

Proper homotopy theory 34

55P60

Localization and completion in homotopy theory 895

55P62

Rational homotopy theory 1183

55P65

Homotopy functors in algebraic topology 256

55P91

Equivariant homotopy theory in algebraic topology [See also 19L47] 639

55P92

Relations between equivariant and nonequivariant homotopy theory in algebraic topology 23

55P99

None of the above, but in this section 1168

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any	anywhere
cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

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Mathematics Subject Classification – MSC2020

Overview