On the closurepreserving sum theorem
Authors:
M. K. Singal and Shashi Prabha Arya
Journal:
Proc. Amer. Math. Soc. 53 (1975), 518522
MSC:
Primary 54B99
MathSciNet review:
0383335
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Abstract: The closurepreserving sum theorem holds for a property if the following is satisfied: ``if is a hereditarily closurepreserving closed covering of such that each possesses the property , then possesses ". A general technique for proving this theorem is developed. The theorem is shown to hold for a large number of topological properties. As an application, three general sum theorems have also been obtained.
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 , More sum theorems for topological spaces, Pacific J. Math. 59 (1975). MR 0388332 (52:9169)
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 , A note on the locally finite sum theorem, Mathematika 19 (1972), 121127. MR 47 #9511. MR 0320978 (47:9511)
 [14]
 M. K. Singal and Pushpa Jain, subparacompact spaces, Jñānabha 2 (1972), 143158. MR 0365484 (51:1736)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939197503833356
PII:
S 00029939(1975)03833356
Keywords:
Closurepreserving,
hereditarily closurepreserving,
strongly hereditarily closurepreserving,
locally finite,
hereditarily closurepreserving,
strongly hereditarily closurepreserving
Article copyright:
© Copyright 1975 American Mathematical Society
