Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949273770> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W2949273770 abstract "For any collection of spaces A, we investigate two non-negative integer homotopy invariants of maps: l_A(f), the A-cone length of f, and L_A(f), the A-category of f. When A is the collection of all spaces, these are the cone length and category of f, respectively, both of which have been studied previously. The following results have been obtained: (1) For a map of one homotopy pushout diagram into another, we derive an upper bound for I_A and L_A of the induced map of homotopy pushouts in terms of I_A and L_A of the other maps. This has many applications including an inequality for I_A and L_A of the maps in a mapping of one mapping cone sequence into another. (2) We establish an upper bound for I_A and L_A of the product of two maps in terms of I_A and L_A of the given maps and the A-cone length of their domains. (3) We study our invariants in a pullback square and obtain as a consequence an upper bound for the A-cone length and A-category of the total space of a fibration in terms of the A-cone length and A-category of the base and fiber. We conclude with several remarks, examples and open questions." @default.
- W2949273770 created "2019-06-27" @default.
- W2949273770 creator A5006328723 @default.
- W2949273770 creator A5029381064 @default.
- W2949273770 creator A5042549384 @default.
- W2949273770 date "2004-06-02" @default.
- W2949273770 modified "2023-09-27" @default.
- W2949273770 title "The cone length and category of maps: pushouts, products and fibrations" @default.
- W2949273770 cites W1481512291 @default.
- W2949273770 cites W1508258150 @default.
- W2949273770 cites W1541529798 @default.
- W2949273770 cites W1976459802 @default.
- W2949273770 cites W1989697736 @default.
- W2949273770 cites W1995301666 @default.
- W2949273770 cites W2003680038 @default.
- W2949273770 cites W2034929676 @default.
- W2949273770 cites W2038870894 @default.
- W2949273770 cites W2071007467 @default.
- W2949273770 cites W2093968485 @default.
- W2949273770 cites W2094977506 @default.
- W2949273770 cites W2110918802 @default.
- W2949273770 cites W2124724623 @default.
- W2949273770 cites W2146451729 @default.
- W2949273770 cites W215033433 @default.
- W2949273770 cites W2317027187 @default.
- W2949273770 cites W2331055409 @default.
- W2949273770 cites W3103977674 @default.
- W2949273770 cites W641742619 @default.
- W2949273770 hasPublicationYear "2004" @default.
- W2949273770 type Work @default.
- W2949273770 sameAs 2949273770 @default.
- W2949273770 citedByCount "0" @default.
- W2949273770 crossrefType "posted-content" @default.
- W2949273770 hasAuthorship W2949273770A5006328723 @default.
- W2949273770 hasAuthorship W2949273770A5029381064 @default.
- W2949273770 hasAuthorship W2949273770A5042549384 @default.
- W2949273770 hasConcept C11413529 @default.
- W2949273770 hasConcept C114614502 @default.
- W2949273770 hasConcept C134306372 @default.
- W2949273770 hasConcept C138885662 @default.
- W2949273770 hasConcept C199360897 @default.
- W2949273770 hasConcept C202444582 @default.
- W2949273770 hasConcept C2778572836 @default.
- W2949273770 hasConcept C30014739 @default.
- W2949273770 hasConcept C33923547 @default.
- W2949273770 hasConcept C41008148 @default.
- W2949273770 hasConcept C41895202 @default.
- W2949273770 hasConcept C42058472 @default.
- W2949273770 hasConcept C54486226 @default.
- W2949273770 hasConcept C5961521 @default.
- W2949273770 hasConcept C77553402 @default.
- W2949273770 hasConcept C97137487 @default.
- W2949273770 hasConceptScore W2949273770C11413529 @default.
- W2949273770 hasConceptScore W2949273770C114614502 @default.
- W2949273770 hasConceptScore W2949273770C134306372 @default.
- W2949273770 hasConceptScore W2949273770C138885662 @default.
- W2949273770 hasConceptScore W2949273770C199360897 @default.
- W2949273770 hasConceptScore W2949273770C202444582 @default.
- W2949273770 hasConceptScore W2949273770C2778572836 @default.
- W2949273770 hasConceptScore W2949273770C30014739 @default.
- W2949273770 hasConceptScore W2949273770C33923547 @default.
- W2949273770 hasConceptScore W2949273770C41008148 @default.
- W2949273770 hasConceptScore W2949273770C41895202 @default.
- W2949273770 hasConceptScore W2949273770C42058472 @default.
- W2949273770 hasConceptScore W2949273770C54486226 @default.
- W2949273770 hasConceptScore W2949273770C5961521 @default.
- W2949273770 hasConceptScore W2949273770C77553402 @default.
- W2949273770 hasConceptScore W2949273770C97137487 @default.
- W2949273770 hasLocation W29492737701 @default.
- W2949273770 hasOpenAccess W2949273770 @default.
- W2949273770 hasPrimaryLocation W29492737701 @default.
- W2949273770 hasRelatedWork W158483785 @default.
- W2949273770 hasRelatedWork W167818471 @default.
- W2949273770 hasRelatedWork W1979022369 @default.
- W2949273770 hasRelatedWork W1995799037 @default.
- W2949273770 hasRelatedWork W2054088058 @default.
- W2949273770 hasRelatedWork W2075133038 @default.
- W2949273770 hasRelatedWork W2087590915 @default.
- W2949273770 hasRelatedWork W2135237706 @default.
- W2949273770 hasRelatedWork W2482670549 @default.
- W2949273770 hasRelatedWork W2768443032 @default.
- W2949273770 hasRelatedWork W2884440937 @default.
- W2949273770 hasRelatedWork W2913645722 @default.
- W2949273770 hasRelatedWork W2949582112 @default.
- W2949273770 hasRelatedWork W2962960196 @default.
- W2949273770 hasRelatedWork W2979759206 @default.
- W2949273770 hasRelatedWork W3098708807 @default.
- W2949273770 hasRelatedWork W3103336959 @default.
- W2949273770 hasRelatedWork W3195719939 @default.
- W2949273770 hasRelatedWork W97168047 @default.
- W2949273770 hasRelatedWork W3113008373 @default.
- W2949273770 isParatext "false" @default.
- W2949273770 isRetracted "false" @default.
- W2949273770 magId "2949273770" @default.
- W2949273770 workType "article" @default.