almost-continuous path connected spaces
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ID: 177835
1981
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Abstract
M. K. Singal and Asha Rani Singal have defined an almost-continuous
function f:X→Y to be one in which for each x∈X and each regular-open set V containing f(x), there exists an open U containing x such that f(U)⊂V. A space Y may now be defined to be almost-continuous path connected if for each y0,y1∈Y there exists an almost-continuous f:I→Y such that f(0)=y0 and f(1)=y1 An investigation of these spaces is made culminating in a theorem showing when the
almost-continuous path connected components coincide with the usual components of Y.
| Reference Key |
herrington1981internationalalmost-continuous
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|---|---|
| Authors | ;Larry L. Herrington;Paul E. Long |
| Journal | structural engineering and mechanics |
| Year | 1981 |
| DOI |
10.1155/S0161171281000641
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| URL | |
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