55XX 


Algebraic topology 


5500 
General reference works (handbooks, dictionaries, bibliographies, etc.) 


5501 
Instructional exposition (textbooks, tutorial papers, etc.) 


5502 
Research exposition (monographs, survey articles) 


5503 
Historical (must also be assigned at least one classification number from Section 01) 


5504 
Explicit machine computation and programs (not the theory of computation or programming) 


5506 
Proceedings, conferences, collections, etc. 

55Mxx 

Classical topics {For the topology of Euclidean spaces and manifolds, see 57Nxx} 

55Nxx 

Homology and cohomology theories [See also 57Txx] 

55Pxx 

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

55Qxx 

Homotopy groups 

55Rxx 

Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] 

55Sxx 

Operations and obstructions 

55Txx 

Spectral sequences [See also 18G40, 55R20] 

55Uxx 

Applied homological algebra and category theory [See also 18Gxx] 